scientific article; zbMATH DE number 7689248
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Publication:6041149
zbMath1526.46026MaRDI QIDQ6041149
Publication date: 26 May 2023
Full work available at URL: https://www.math.uh.edu/~hjm/restricted/pdf48(3)/03ohno.pdf
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metric measure spaceMusielak-Orlicz spacesRiesz potentialsTrudinger's inequalitylower Ahlfors regulardouble phase functional
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev (and similar kinds of) spaces of functions on metric spaces; analysis on metric spaces (46E36)
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Cites Work
- Sobolev embeddings for Riesz potentials of functions in non-doubling Morrey spaces of variable exponents
- Variable Lebesgue spaces. Foundations and harmonic analysis
- Bounded minimisers of double phase variational integrals
- Lebesgue and Sobolev spaces with variable exponents
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- Gossez's approximation theorems in Musielak-Orlicz-Sobolev spaces
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- Regularity for general functionals with double phase
- Sobolev spaces on an arbitrary metric space
- Boundedness of maximal operators and Sobolev's inequality on Musielak-Orlicz-Morrey spaces
- Maximal and Riesz potential operators on Musielak-Orlicz spaces over metric measure spaces
- Regularity for double phase variational problems
- Sobolev's inequality for double phase functionals with variable exponents
- Variable exponent Sobolev spaces on metric measure spaces
- Sobolev embeddings in metric measure spaces with variable dimension
- SOBOLEV INEQUALITIES FOR RIESZ POTENTIALS OF FUNCTIONS IN OVER NONDOUBLING MEASURE SPACES
- Non-autonomous functionals, borderline cases and related function classes
- Musielak-Orlicz-Sobolev spaces on metric measure spaces
- Sobolev met Poincaré
- Differentiability and Holder continuity of Riesz potentials of Orlicz functions
- Trudinger's inequality for double phase functionals with variable exponents
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