Riesz potential and its commutators on Orlicz spaces

DOI10.1186/s13660-017-1349-4zbMath1364.31005OpenAlexW2607172281WikidataQ42291675 ScholiaQ42291675MaRDI QIDQ523885

Fatih Deringoz, Sabir G. Hasanov, Vagif S. Guliyev

Publication date: 24 April 2017

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-017-1349-4

zbMATH Keywords

Lipschitz spaceBMOOrlicz spacescommutatorRiesz potential

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) Commutators, derivations, elementary operators, etc. (47B47) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Related Items (14)

Weak‐type Fefferman–Stein inequality and commutators on weak Orlicz–Morrey spaces ⋮ Unnamed Item ⋮ Commutators of integral operators with functions in Campanato spaces on Orlicz-Morrey spaces ⋮ Commutators of fractional maximal operator on Orlicz spaces ⋮ Some characterizations of the generalized BMO spaces via the boundedness of maximal function commutators ⋮ Commutators of multi-sublinear maximal functions with Lipschitz functions ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Commutators of some maximal functions with Lipschitz function on Orlicz spaces ⋮ Generalized fractional integral operators and their commutators with functions in generalized Campanato spaces on Orlicz spaces ⋮ A characterization for fractional integral and its commutators in Orlicz and generalized Orlicz-Morrey spaces on spaces of homogeneous type ⋮ Some notes on commutators of the fractional maximal function on variable Lebesgue spaces ⋮ Some characterizations of \textit{BMO} spaces via commutators in Orlicz spaces on stratified Lie groups ⋮ Boundedness of the Riesz potential in central Morrey-Orlicz spaces

Cites Work

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• Maximal function in Beurling–Orlicz and central Morrey–Orlicz spaces
• Hölder regularity for solutions of ultraparabolic equations in divergence form
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