Sobolev’s Inequality for Riesz Potentials of Functions in Musielak–Orlicz–Morrey Spaces Over Non-doubling Metric Measure Spaces
DOI10.4153/S0008439519000286zbMath1451.46039OpenAlexW2945581048WikidataQ127844292 ScholiaQ127844292MaRDI QIDQ5107995
Publication date: 29 April 2020
Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4153/s0008439519000286
maximal functionSobolev's inequalityRiesz potentialmetric measure spacenon-doubling measureMusielak-Orlicz-Morrey spacedouble phase functional
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Maximal functions, Littlewood-Paley theory (42B25) Sobolev (and similar kinds of) spaces of functions on metric spaces; analysis on metric spaces (46E36)
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Cites Work
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- Corrigendum to ``The maximal operator on generalized Orlicz spaces
- Eigenvalues for double phase variational integrals
- Sobolev embeddings for Riesz potentials of functions in non-doubling Morrey spaces of variable exponents
- Boundedness of maximal, potential type, and singular integral operators in the generalized variable exponent Morrey type spaces
- Nonlinear potential theory on metric spaces
- Local-to-global results in variable exponent spaces
- Sobolev embeddings for Riesz potentials of functions in Morrey spaces of variable exponent
- Sobolev's inequality for Riesz potentials of functions in non-doubling Morrey spaces
- Weak type \(L^ 1\) estimates for maximal functions on non-compact symmetric spaces
- A note on Riesz potentials
- Gossez's approximation theorems in Musielak-Orlicz-Sobolev spaces
- Sobolev inequalities for Musielak-Orlicz spaces
- Boundedness of the maximal operator on Musielak-Orlicz-Morrey spaces
- Boundary regularity under generalized growth conditions
- Regularity for general functionals with double phase
- 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
- Trudinger's inequality and continuity for Riesz potentials of functions in Musielak-Orlicz-Morrey spaces on metric measure spaces
- Morrey spaces for non-doubling measures
- On the theory of \({\mathcal L}_{p, \lambda}\) spaces
- Sharp estimates of the modified Hardy-Littlewood maximal operator on the nonhomogeneous space via covering lemmas
- Weighted Sobolev theorem in Lebesgue spaces with variable exponent
- SOBOLEV INEQUALITIES FOR RIESZ POTENTIALS OF FUNCTIONS IN OVER NONDOUBLING MEASURE SPACES
- Examples of metric measure spaces related to modified Hardy-Littlewood maximal operators
- Non-autonomous functionals, borderline cases and related function classes
- Sobolev embeddings for Riesz potentials of functions in Musielak–Orlicz–Morrey spaces over non-doubling measure spaces
- Musielak-Orlicz-Sobolev spaces on metric measure spaces
- Boundedness of the maximal, potential and singular operators in the generalized variable exponent Morrey spaces
- Riesz potentials and Sobolev embeddings on Morrey spaces of variable exponents
- Orlicz–Morrey spaces and the Hardy–Littlewood maximal function
- Sobolev met Poincaré
- The boundedness of fractional maximal operators on variable Lebesgue spaces over spaces of homogeneous type
- On Certain Convolution Inequalities
- Hardy-Littlewood Maximal Operator, Singular Integral Operators and the Riesz Potentials on Generalized Morrey Spaces
- Some norm inequalities in Musielak-Orlicz spaces
- Musielak-Orlicz-Sobolev spaces with zero boundary values on metric measure spaces
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