Generalized fractional integral operators and their commutators with functions in generalized Campanato spaces on Orlicz spaces

DOI10.11650/tjm/181211zbMath1491.47038arXiv1812.09148OpenAlexW2962978752WikidataQ128663161 ScholiaQ128663161MaRDI QIDQ2279389

Minglei Shi, Ryutaro Arai, Eiichi Nakai

Publication date: 12 December 2019

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.09148

zbMATH Keywords

Orlicz spacefractional integralCampanato spacecommutator

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) Function spaces arising in harmonic analysis (42B35) Fractional derivatives and integrals (26A33) Integral operators (47G10)

Related Items (12)

Compactness of commutators of integral operators with functions in Campanato spaces on Orlicz-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 ⋮ A new vanishing Lipschitz-type subspace of BMO and compactness of bilinear commutators ⋮ Generalized fractional integral operators on Orlicz–Hardy spaces ⋮ Characterization of the boundedness of generalized fractional integral and maximal operators on Orlicz–Morrey and weak Orlicz–Morrey spaces ⋮ Commutators for certain fractional type operators on weighted spaces and Orlicz-Morrey 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 ⋮ Biographical Sketch of Professor Eiichi Nakai ⋮ Commutators of integral operators with functions in Campanato spaces on Orlicz-Morrey spaces ⋮ Fractional integrals and their commutators on martingale Orlicz spaces ⋮ Weighted boundedness of the Hardy-Littlewood maximal and Calderón-Zygmund operators on Orlicz-Morrey and weak Orlicz-Morrey spaces

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