Title: Interpolation inequalities for derivatives in variable exponent Lebesgue–Sobolev spaces
Abstract: We show the interpolation inequalities for derivatives in variable exponent Lebesgue–Sobolev spaces by applying the boundedness of the Hardy–Littlewood maximal operator on Lp(⋅). As applications, we prove a new Landau–Komogorov type inequality for the second-order derivative and an embedding theorem and discuss the equivalent norms in the space W01,p(⋅)(Ω)∩W2,p(⋅)(Ω).
Publication Year: 2008
Publication Date: 2008-11-01
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 107
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