Publication Information

{'id': 'https://openalex.org/W2771282599', 'doi': None, 'title': 'Continuity properties of weakly monotone Orlicz-Sobolev functions', 'display_name': 'Continuity properties of weakly monotone Orlicz-Sobolev functions', 'publication_year': 2017, 'publication_date': '2017-11-30', 'ids': {'openalex': 'https://openalex.org/W2771282599', 'mag': '2771282599'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://arxiv.org/pdf/1711.11529.pdf', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4306400194', 'display_name': 'arXiv (Cornell University)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I205783295', 'host_organization_name': 'Cornell University', 'host_organization_lineage': ['https://openalex.org/I205783295'], 'host_organization_lineage_names': ['Cornell University'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, 'type': 'preprint', 'type_crossref': 'posted-content', 'indexed_in': [], 'open_access': {'is_oa': False, 'oa_status': 'closed', 'oa_url': None, 'any_repository_has_fulltext': False}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5006423302', 'display_name': 'Menita Carozza', 'orcid': 'https://orcid.org/0000-0003-2759-3857'}, 'institutions': [{'id': 'https://openalex.org/I16337185', 'display_name': 'University of Sannio', 'ror': 'https://ror.org/04vc81p87', 'country_code': 'IT', 'type': 'education', 'lineage': ['https://openalex.org/I16337185']}], 'countries': ['IT'], 'is_corresponding': False, 'raw_author_name': 'Menita Carozza', 'raw_affiliation_strings': ['Dipartimento di Ingegneria, Università del Sannio, Corso Garibaldi, 107-82100 Benevento, Italy'], 'affiliations': [{'raw_affiliation_string': 'Dipartimento di Ingegneria, Università del Sannio, Corso Garibaldi, 107-82100 Benevento, Italy', 'institution_ids': ['https://openalex.org/I16337185']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5075871069', 'display_name': 'Andrea Cianchi', 'orcid': 'https://orcid.org/0000-0002-1198-8718'}, 'institutions': [{'id': 'https://openalex.org/I4402554200', 'display_name': 'Liceo scientifico statale Ulisse Dini', 'ror': 'https://ror.org/006xg2x43', 'country_code': None, 'type': 'education', 'lineage': ['https://openalex.org/I4402554200']}, {'id': 'https://openalex.org/I45084792', 'display_name': 'University of Florence', 'ror': 'https://ror.org/04jr1s763', 'country_code': 'IT', 'type': 'education', 'lineage': ['https://openalex.org/I45084792']}], 'countries': ['IT'], 'is_corresponding': False, 'raw_author_name': 'Andrea Cianchi', 'raw_affiliation_strings': ['Dipartimento di Matematica e Informatica “U. Dini”, Università di Firenze, viale Morgagni 67/A, 50134, Firenze, Italy'], 'affiliations': [{'raw_affiliation_string': 'Dipartimento di Matematica e Informatica “U. Dini”, Università di Firenze, viale Morgagni 67/A, 50134, Firenze, Italy', 'institution_ids': ['https://openalex.org/I4402554200', 'https://openalex.org/I45084792']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 3, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': None, 'has_fulltext': False, 'cited_by_count': 0, 'citation_normalized_percentile': {'value': 0.0, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 0, 'max': 63}, 'biblio': {'volume': None, 'issue': None, 'first_page': None, 'last_page': None}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T11822', 'display_name': 'Analytic and geometric function theory', 'score': 0.9922, 'subfield': {'id': 'https://openalex.org/subfields/2608', 'display_name': 'Geometry and Topology'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, 'topics': [{'id': 'https://openalex.org/T11822', 'display_name': 'Analytic and geometric function theory', 'score': 0.9922, 'subfield': {'id': 'https://openalex.org/subfields/2608', 'display_name': 'Geometry and Topology'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T10194', 'display_name': 'Nonlinear Partial Differential Equations', 'score': 0.9845, 'subfield': {'id': 'https://openalex.org/subfields/2604', 'display_name': 'Applied Mathematics'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T11049', 'display_name': 'Advanced Harmonic Analysis Research', 'score': 0.9735, 'subfield': {'id': 'https://openalex.org/subfields/2604', 'display_name': 'Applied Mathematics'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}], 'keywords': [{'id': 'https://openalex.org/keywords/pointwise', 'display_name': 'Pointwise', 'score': 0.7034565}, {'id': 'https://openalex.org/keywords/birnbaum–orlicz-space', 'display_name': 'Birnbaum–Orlicz space', 'score': 0.6015339}, {'id': 'https://openalex.org/keywords/almost-everywhere', 'display_name': 'Almost everywhere', 'score': 0.5147338}, {'id': 'https://openalex.org/keywords/zero', 'display_name': 'Zero (linguistics)', 'score': 0.4824041}], 'concepts': [{'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.8614956}, {'id': 'https://openalex.org/C99730327', 'wikidata': 'https://www.wikidata.org/wiki/Q1501536', 'display_name': 'Sobolev space', 'level': 2, 'score': 0.79112744}, {'id': 'https://openalex.org/C2834757', 'wikidata': 'https://www.wikidata.org/wiki/Q4925424', 'display_name': 'Monotone polygon', 'level': 2, 'score': 0.7833288}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.71517265}, {'id': 'https://openalex.org/C2777984123', 'wikidata': 'https://www.wikidata.org/wiki/Q9248237', 'display_name': 'Pointwise', 'level': 2, 'score': 0.7034565}, {'id': 'https://openalex.org/C191399826', 'wikidata': 'https://www.wikidata.org/wiki/Q326908', 'display_name': 'Hausdorff space', 'level': 2, 'score': 0.62452525}, {'id': 'https://openalex.org/C169976997', 'wikidata': 'https://www.wikidata.org/wiki/Q3058185', 'display_name': 'Birnbaum–Orlicz space', 'level': 5, 'score': 0.6015339}, {'id': 'https://openalex.org/C172294467', 'wikidata': 'https://www.wikidata.org/wiki/Q305936', 'display_name': 'Lp space', 'level': 3, 'score': 0.51528907}, {'id': 'https://openalex.org/C27142425', 'wikidata': 'https://www.wikidata.org/wiki/Q1139334', 'display_name': 'Almost everywhere', 'level': 2, 'score': 0.5147338}, {'id': 'https://openalex.org/C14158598', 'wikidata': 'https://www.wikidata.org/wiki/Q853831', 'display_name': 'Lebesgue integration', 'level': 2, 'score': 0.51020217}, {'id': 'https://openalex.org/C2780813799', 'wikidata': 'https://www.wikidata.org/wiki/Q3274237', 'display_name': 'Zero (linguistics)', 'level': 2, 'score': 0.4824041}, {'id': 'https://openalex.org/C14036430', 'wikidata': 'https://www.wikidata.org/wiki/Q3736076', 'display_name': 'Function (biology)', 'level': 2, 'score': 0.43455458}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.40454102}, {'id': 'https://openalex.org/C6183050', 'wikidata': 'https://www.wikidata.org/wiki/Q3058180', 'display_name': 'Interpolation space', 'level': 4, 'score': 0.35338375}, {'id': 'https://openalex.org/C118615104', 'wikidata': 'https://www.wikidata.org/wiki/Q121416', 'display_name': 'Discrete mathematics', 'level': 1, 'score': 0.323641}, {'id': 'https://openalex.org/C132954091', 'wikidata': 'https://www.wikidata.org/wiki/Q194397', 'display_name': 'Banach space', 'level': 2, 'score': 0.11233154}, {'id': 'https://openalex.org/C55112680', 'wikidata': 'https://www.wikidata.org/wiki/Q190549', 'display_name': 'Functional analysis', 'level': 3, 'score': 0.10232559}, {'id': 'https://openalex.org/C55493867', 'wikidata': 'https://www.wikidata.org/wiki/Q7094', 'display_name': 'Biochemistry', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C185592680', 'wikidata': 'https://www.wikidata.org/wiki/Q2329', 'display_name': 'Chemistry', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C2524010', 'wikidata': 'https://www.wikidata.org/wiki/Q8087', 'display_name': 'Geometry', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C41895202', 'wikidata': 'https://www.wikidata.org/wiki/Q8162', 'display_name': 'Linguistics', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C138885662', 'wikidata': 'https://www.wikidata.org/wiki/Q5891', 'display_name': 'Philosophy', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C78458016', 'wikidata': 'https://www.wikidata.org/wiki/Q840400', 'display_name': 'Evolutionary biology', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C86803240', 'wikidata': 'https://www.wikidata.org/wiki/Q420', 'display_name': 'Biology', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C104317684', 'wikidata': 'https://www.wikidata.org/wiki/Q7187', 'display_name': 'Gene', 'level': 2, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://arxiv.org/pdf/1711.11529.pdf', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4306400194', 'display_name': 'arXiv (Cornell University)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I205783295', 'host_organization_name': 'Cornell University', 'host_organization_lineage': ['https://openalex.org/I205783295'], 'host_organization_lineage_names': ['Cornell University'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}], 'best_oa_location': None, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 5, 'referenced_works': ['https://openalex.org/W1526489138', 'https://openalex.org/W1709024870', 'https://openalex.org/W2054731907', 'https://openalex.org/W2088703872', 'https://openalex.org/W2793869493'], 'related_works': ['https://openalex.org/W405431393', 'https://openalex.org/W3200331671', 'https://openalex.org/W3159792059', 'https://openalex.org/W2978283406', 'https://openalex.org/W2962676805', 'https://openalex.org/W2951526292', 'https://openalex.org/W26105898', 'https://openalex.org/W2604095942', 'https://openalex.org/W2570237080', 'https://openalex.org/W2462499052', 'https://openalex.org/W2414987120', 'https://openalex.org/W2280552416', 'https://openalex.org/W2268823816', 'https://openalex.org/W2133583826', 'https://openalex.org/W2033760816', 'https://openalex.org/W2009814167', 'https://openalex.org/W1981657308', 'https://openalex.org/W1969366231', 'https://openalex.org/W1523841547', 'https://openalex.org/W1487387380'], 'abstract_inverted_index': {'The': [0, 52, 107], 'notion': [1], 'of': [2, 10, 26, 39, 61, 65, 85, 111, 118], 'weakly': [3, 66], 'monotone': [4, 11, 67], 'functions': [5, 68, 86], 'extends': [6], 'the': [7, 24, 35, 58, 83, 102], 'classical': [8], 'definition': [9], 'function,': [12], 'that': [13], 'can': [14], 'be': [15], 'traced': [16], 'back': [17], 'to': [18, 98], 'H.Lebesgue.': [19], 'It': [20], 'was': [21], 'introduced,': [22], 'in': [23, 34, 69, 78], 'setting': [25], 'Sobolev': [27], 'spaces,': [28], 'by': [29, 42], 'J.Manfredi,': [30], 'and': [31, 56, 96, 115], 'thoroughly': [32], 'investigated': [33], 'more': [36], 'general': [37], 'framework': [38], 'Orlicz-Sobolev': [40, 70], 'spaces': [41, 89], 'diverse': [43], 'authors,': [44], 'including': [45], 'T.Iwaniec,': [46], 'J.Kauhanen,': [47], 'P.Koskela,': [48], 'J.Maly,': [49], 'J.Onninen,': [50], 'X.Zhong.': [51], 'present': [53], 'paper': [54], 'complements': [55], 'augments': [57], 'available': [59], 'theory': [60], 'pointwise': [62], 'regularity': [63], 'properties': [64], 'spaces.': [71], 'In': [72], 'particular,': [73], 'a': [74, 79, 92], 'variant': [75], 'is': [76, 104], 'proposed': [77], 'customary': [80], 'condition': [81], 'ensuring': [82], 'continuity': [84, 108, 129], 'from': [87], 'these': [88], 'which': [90], 'avoids': [91], 'technical': [93], 'additional': [94], 'assumption,': [95], 'applies': [97], 'certain': [99], 'situations': [100], 'when': [101, 127], 'latter': [103], 'not': [105], 'fulfilled.': [106], 'outside': [109, 116], 'sets': [110, 117], 'zero': [112, 120], 'Orlicz': [113], 'capacity,': [114], '(generalized)': [119], 'Hausdorff': [121], 'measure,': [122], 'will': [123], 'are': [124], 'also': [125], 'established': [126], 'everywhere': [128], 'fails.': [130]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2771282599', 'counts_by_year': [], 'updated_date': '2024-12-15T10:19:01.438056', 'created_date': '2017-12-22'}