Generalized fractional maximal and integral operators on Orlicz and generalized Orlicz-Morrey spaces of the third kind

DOI10.1007/s11117-018-0635-9zbMath1440.42076arXiv1812.03649OpenAlexW2902684278WikidataQ128871556 ScholiaQ128871556MaRDI QIDQ2321912

Yoshihiro Sawano, Vagif S. Guliyev, Eiichi Nakai, Minglei Shi, Fatih Deringoz

Publication date: 27 August 2019

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.03649

zbMATH Keywords

Orlicz spacesgeneralized Orlicz-Morrey spacesgeneralized fractional integralgeneralized fractional maximal function

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) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35)

Related Items (24)

Boundedness of certain bilinear operators on vanishing generalized Morrey spaces ⋮ Characterization of the boundedness of fractional maximal operator and its commutators in Orlicz and generalized Orlicz-Morrey spaces on spaces of homogeneous type ⋮ Boundedness for the modified fractional integral operator from mixed Morrey spaces to the bounded mean oscillation space and Lipschitz spaces ⋮ Boundedness of Calderón-Zygmund operators on ball Campanato-type function spaces ⋮ Sobolev's inequality in Musielak–Orlicz–Morrey spaces of an integral form ⋮ An unification of Orlicz-Morrey spaces and its applications ⋮ Generalized fractional integral operators on Orlicz–Hardy spaces ⋮ Local potential operator and uniform resolvent estimate for generalized Schrödinger operator in Orlicz spaces ⋮ Characterization of the boundedness of generalized fractional integral and maximal operators on Orlicz–Morrey and weak Orlicz–Morrey spaces ⋮ Riesz potential and its commutators on generalized weighted Orlicz–Morrey spaces ⋮ Boundedness of fractional integrals on ball Campanato-type function spaces ⋮ Weak‐type Fefferman–Stein inequality and commutators on weak Orlicz–Morrey spaces ⋮ Generalized fractional integral operators based on symmetric Markovian semigroups with application to the Heisenberg group ⋮ COMMUTATORS OF CLASSICAL OPERATORS IN A NEW VANISHING ORLICZ-MORREY SPACE ⋮ Biographical Sketch of Professor Eiichi Nakai ⋮ Generalized fractional maximal operators on Musielak-Orlicz-Morrey spaces ⋮ Unnamed Item ⋮ Commutators of integral operators with functions in Campanato spaces on Orlicz-Morrey spaces ⋮ Generalized fractional integral operators and their commutators with functions in generalized Campanato spaces on Orlicz spaces ⋮ Fractional integral operators on Morrey spaces built on rearrangement-invariant quasi-Banach function spaces ⋮ Fractional integrals and their commutators on martingale Orlicz spaces ⋮ Mixed Sobolev-like inequalities in Lebesgue spaces of variable exponents and in Orlicz spaces ⋮ Boundedness of the Riesz potential in central Morrey-Orlicz spaces ⋮ Weighted boundedness of the Hardy-Littlewood maximal and Calderón-Zygmund operators on Orlicz-Morrey and weak Orlicz-Morrey spaces

Cites Work

• Generalized fractional maximal operators and vector-valued inequalities on generalized Orlicz-Morrey spaces
• Characterizations for the Riesz potential and its commutators on generalized Orlicz-Morrey spaces
• Orlicz-Morrey spaces and fractional operators
• Generalized fractional integral operators on generalized local Morrey spaces
• Non-smooth atomic decompositions for generalized Orlicz-Morrey spaces of the third kind
• Theory of Besov spaces
• The maximal operator on generalized Orlicz spaces
• A note on Riesz potentials
• Pointwise multipliers on weak Orlicz spaces
• A remark on two generalized Orlicz-Morrey spaces
• Generalized fractional integral operators and fractional maximal operators in the framework of Morrey spaces
• Strong and Weak Type Inequalities for Some Classical Operators in Orlicz Spaces
• On Certain Convolution Inequalities
• Characterizations for the generalized fractional integral operators on Morrey spaces
• Boundedness of the Maximal and Singular Operators on Generalized Orlicz–Morrey Spaces
• A characterization for Adams-type boundedness of the fractional maximal operator on generalized Orlicz–Morrey spaces
• Fractional Integration in Orlicz Spaces. I
• On generalized fractional integrals
• Boundedness of fractional integral operators on Morrey spaces and Sobolev embeddings for generalized Riesz potentials
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