Boundedness of integral operators of double phase

DOI10.7153/mia-2023-26-42OpenAlexW4385696395MaRDI QIDQ6180085

Tetsu Shimomura, Yoshihiro Mizuta

Publication date: 19 January 2024

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/mia-2023-26-42

zbMATH Keywords

Orlicz spacesSobolev inequalityTrudinger inequalityRiesz potentialsdouble phase functionals

Mathematics Subject Classification ID

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)

Cites Work

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• Bounded minimisers of double phase variational integrals
• Continuity properties of Riesz potentials of Orlicz functions
• Exponential integrability for Riesz potentials of functions in Orlicz classes
• Hölder regularity for nonlocal double phase equations
• Regularity for general functionals with double phase
• Global gradient estimates for a borderline case of double phase problems with measure data
• Hardy-Sobolev inequalities in the unit ball for double phase functionals
• Boundedness of fractional maximal operators for double phase functionals with variable exponents
• Regularity for double phase variational problems
• Regularity for minimizers for functionals of double phase with variable exponents
• Differentiability properties of Orlicz-Sobolev functions
• Sobolev's inequality for double phase functionals with variable exponents
• Non-autonomous functionals, borderline cases and related function classes
• Strong and Weak Type Inequalities for Some Classical Operators in Orlicz Spaces
• Sharpness of embeddings in logarithmic Bessel-potential spaces
• Trudinger's inequality for double phase functionals with variable exponents
• Boundary growth of Sobolev functions of monotone type for double phase functionals
• Sobolev's theorem for double phase functionals
• Hölder continuity of $\omega$-minimizers of functionals with generalized Orlicz growth
• Integrability of maximal functions for generalized Lebesgue spaces with variable exponent
• Sobolev inequalities of exponential type

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