Boundedness of the maximal operator on Musielak-Orlicz-Morrey spaces

DOI10.2748/TMJ/1512183626zbMath1387.42017OpenAlexW2775183681MaRDI QIDQ1705549

Tetsu Shimomura, Takao Ohno, Fumi-Yuki Maeda

Publication date: 16 March 2018

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1512183626

zbMATH Keywords

variable exponentMusielak-Orlicz-Morrey space

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) Maximal functions, Littlewood-Paley theory (42B25)

Related Items (15)

Generalized Orlicz spaces and related PDE ⋮ Sobolev's inequality for double phase functionals with variable exponents ⋮ Trudinger's inequality on Musielak-Orlicz-Morrey spaces over non-doubling metric measure spaces ⋮ Sobolev's inequality in Musielak–Orlicz–Morrey spaces of an integral form ⋮ Calderón-Zygmund estimates in generalized Orlicz spaces ⋮ Sobolev’s Inequality for Riesz Potentials of Functions in Musielak–Orlicz–Morrey Spaces Over Non-doubling Metric Measure Spaces ⋮ Sobolev's inequality for Musielak-Orlicz-Sobolev functions ⋮ Generalized fractional maximal operators on Musielak-Orlicz-Morrey spaces ⋮ Gagliardo--Nirenberg inequality for generalized Riesz potentials of functions in Musielak--Orlicz spaces over quasi-metric measure spaces ⋮ Maximal and Riesz potential operators on Musielak-Orlicz spaces over metric measure spaces ⋮ Hölder continuity of $\omega$-minimizers of functionals with generalized Orlicz growth ⋮ Hölder regularity of quasiminimizers under generalized growth conditions ⋮ SOBOLEV’S INEQUALITY FOR MUSIELAK–ORLICZ–MORREY SPACES OVER METRIC MEASURE SPACES ⋮ Sobolev-type inequalities on Musielak-Orlicz-Morrey spaces of an integral form ⋮ Riesz potentials and Sobolev-type inequalities in Orlicz-Morrey spaces of an integral form

Cites Work

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• Variable Lebesgue spaces. Foundations and harmonic analysis
• Lebesgue and Sobolev spaces with variable exponents
• Orlicz spaces and modular spaces
• The maximal operator on generalized Orlicz spaces
• Sobolev embeddings for Riesz potentials of functions in Morrey spaces of variable exponent
• Boundedness of maximal operators and Sobolev's inequality on Musielak-Orlicz-Morrey spaces
• Maximal function on generalized Lebesgue spaces L^p(⋅)
• Hardy-Littlewood Maximal Operator, Singular Integral Operators and the Riesz Potentials on Generalized Morrey Spaces

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