A trace inequality of Riesz potentials in variable exponent Orlicz spaces

DOI10.1002/MANA.201000115zbMath1261.46023OpenAlexW1994721782MaRDI QIDQ2909660

Yoshihiro Mizuta, Tetsu Shimomura

Publication date: 6 September 2012

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201000115

zbMATH Keywords

Sobolev spaceSobolev embeddingsLebesgue spaceSobolev's inequalitytrace inequalityRiesz potentialvariable exponent

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Related Items (1)

Compact embeddings for Sobolev spaces of two variable exponents

Cites Work

• Hardy's inequality in Orlicz-Sobolev spaces of variable exponent
• Lebesgue and Sobolev spaces with variable exponents
• Iterated maximal functions in variable exponent Lebesgue spaces
• Orlicz spaces and modular spaces
• Sobolev embeddings for Riesz potential spaces of variable exponents near 1 and Sobolev's exponent
• Sobolev's inequalities and vanishing integrability for Riesz potentials of functions in the generalized Lebesgue space \(L^{p(\cdot)}(\log L)^{q(\cdot)}\)
• Boundary trace inequalities and rearrangements
• Integrability of maximal functions and Riesz potentials in Orlicz spaces of variable exponent
• Function spaces of variable smoothness and integrability
• On Sobolev theorem for Riesz-type potentials in Lebesgue spaces with variable exponent
• Boundary trace embedding theorems for variable exponent Sobolev spaces
• Riesz potential and Sobolev embeddings on generalized Lebesgue and Sobolev spacesLp(·) andWk,p(·)
• Riesz potentials and Sobolev embeddings on Morrey spaces of variable exponents
• SOBOLEV INEQUALITIES FOR ORLICZ SPACES OF TWO VARIABLE EXPONENTS
• 𝐿log𝐿 results for the maximal operator in variable 𝐿^{𝑝} spaces
• Sharp Exponential Integrability for Traces of Monotone Sobolev Functions
• Variable exponent trace spaces
• Weighted criteria for generalized fractional maximal functions and potentials in Lebesgue spaces with variable exponent

This page was built for publication: A trace inequality of Riesz potentials in variable exponent Orlicz spaces