Boundedness of the maximal operator and Sobolev's inequality on non-homogeneous central Herz-Morrey-Orlicz spaces

DOI10.1016/J.NA.2015.08.014zbMath1325.31002OpenAlexW1463541698MaRDI QIDQ888873

Yoshihiro Mizuta, Takao Ohno

Publication date: 2 November 2015

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2015.08.014

zbMATH Keywords

maximal operatorSobolev inequalityRiesz potentialsnon-homogeneous central Herz-Morrey-Orlicz spaces

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)

Related Items (11)

Nonhomogeneous central Morrey-type spaces in \(L^{p(\cdot)}\) and weak estimates for the maximal and Riesz potential operators ⋮ Sobolev's inequality in central Herz-Morrey-Musielak-Orlicz spaces over metric measure spaces ⋮ Duality of non-homogeneous central Herz-Morrey-Musielak-Orlicz spaces. Dedicated to Professor Hiroaki Aikawa on the occasion of his sixtieth birthday ⋮ Hardy–Sobolev inequality for Sobolev functions in central Herz–Morrey spaces ⋮ Sobolev's inequalities for Herz-Morrey-Orlicz spaces on the half space ⋮ Duality of central Herz-Morrey-Musielak-Orlicz spaces of variable exponents ⋮ Boundedness of maximal operator, Hardy operator and Sobolev's inequalities on non-homogeneous central Herz-Morrey-Musielak-Orlicz spaces ⋮ Weak estimates for the maximal and Riesz potential operators in central Herz-Morrey spaces on the unit ball ⋮ Hardy–Sobolev inequalities for Sobolev functions in central Herz–Morrey spaces on the unit ball ⋮ Boundedness of the maximal and potential operators in Herz-Morrey type spaces ⋮ Weak estimates for the maximal and Riesz potential operators in non-homogeneous central Herz-Morrey spaces

Cites Work

• Unnamed Item
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• On weighted inequalities for fractional integrals of radial functions
• Boundedness of the Riesz potential in local Morrey-type spaces
• Orlicz spaces and modular spaces
• \(\lambda \)-central \(BMO\) estimates for commutators of singular integral operators with rough kernels
• Integral representations, differentiability properties and limits at infinity for Beppo Levi functions
• Spaces of bounded \(\lambda\)-central mean oscillation, Morrey spaces, and \(\lambda\)-central Carleson measures
• On weighted iterated Hardy-type inequalities
• Boundedness of some sublinear operators on Herz spaces
• Taylor expansion of Riesz potentials
• Boundedness of maximal operators and Sobolev's inequality on Musielak-Orlicz-Morrey spaces
• Construction and analysis of some convolution algebras
• Fractional integral operators on \boldsymbolB^p,λwith Morrey-Campanato norms
• A Theory of Hardy Spaces Associated to the Herz Spaces
• Sharp sobolev embeddings and related hardy inequalities: The critical case
• Hardy Spaces and Beurling Algebras
• Boundedness of the fractional maximal operator in local Morrey-type spaces
• Herz–Morrey spaces of variable exponent, Riesz potential operator and duality
• Sobolev's theorem and duality for Herz-Morrey spaces of variable exponent

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