Some norm inequalities in Musielak-Orlicz spaces

DOI10.5186/aasfm.2016.4148zbMath1347.26023OpenAlexW2419630196MaRDI QIDQ5739333

Yoshihiro Sawano, Fumi-Yuki Maeda, Tetsu Shimomura

Publication date: 15 July 2016

Published in: Annales Academiae Scientiarum Fennicae Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5186/aasfm.2016.4148

zbMATH Keywords

singular integral operatorRiesz potentialMusielak-Orlicz spaceweighted inequalityOlsen inequalityKerman-Sawyer inequality

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Fractional derivatives and integrals (26A33) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17)

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Cites Work

• Atomic decompositions of Hardy spaces with variable exponents and its application to bounded linear operators
• Hardy spaces with variable exponents and generalized Campanato spaces
• Variable Lebesgue spaces. Foundations and harmonic analysis
• Orlicz-Hardy spaces and their duals
• Orlicz spaces and modular spaces
• The trace inequality and eigenvalue estimates for Schrödinger operators
• Nonlinear potential theory and weighted Sobolev spaces
• Potential theory - selected topics
• Boundedness of maximal operators and Sobolev's inequality on Musielak-Orlicz-Morrey spaces
• Atomic decomposition for Morrey spaces
• Approximate identities and Young type inequalities in Musielak-Orlicz spaces
• Some inequalities for generalized fractional integral operators on generalized Morrey spaces
• Generalized fractional integral operators and fractional maximal operators in the framework of Morrey spaces
• FRACTIONAL INTEGRAL OPERATORS IN NONHOMOGENEOUS SPACES
• Atomic decomposition of Hardy-Morrey spaces with variable exponents
• Non‐smooth atomic decomposition for generalized Orlicz‐Morrey spaces
• MORREY SPACES AND FRACTIONAL OPERATORS
• Weighted inequalities for vector-valued maximal functions and singular integrals
• Fractional Integrals and Generalized Olsen Inequalities
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