Characterizations for the potential operators on Carleson curves in local generalized Morrey spaces

DOI10.1515/math-2020-0102zbMath1484.42018OpenAlexW3112667949MaRDI QIDQ2053510

Tahir Azeroglu, Hatice Armutcu, Vagif S. Guliyev

Publication date: 29 November 2021

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2020-0102

zbMATH Keywords

potential operatorCarleson curveAdams-type inequalitieslocal generalized Morrey space

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Fractional derivatives and integrals (26A33) Linear operators on function spaces (general) (47B38)

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Cites Work

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• Generalized local Morrey spaces and fractional integral operators with rough kernel
• Mixed Morrey spaces and their applications to partial differential equations
• Boundedness of maximal operators and potential operators on Carleson curves in Lebesgue spaces with variable exponent
• Boundedness of the maximal, potential and singular operators in the generalized Morrey spaces
• Morrey spaces and fractional integral operators
• A note on Riesz potentials
• Carleson curves, Muckenhoupt weights, and Toeplitz operators
• Characterizations for the fractional integral operators in generalized Morrey spaces on Carnot groups
• Potential operators in modified Morrey spaces defined on Carleson curves
• Characterizations for the fractional maximal operators on Carleson curves in local generalized Morrey spaces
• Regularity for minimizers for functionals of double phase with variable exponents
• Commutators and generalized local Morrey spaces
• Weighted Hardy and singular operators in Morrey spaces
• On the boundedness of the maximal operator and singular integral operators in generalized Morrey spaces
• Necessary and sufficient conditions for the boundedness of the Riesz potential in modified Morrey spaces
• Toeplitz operators with PC symbols on general Carleson Jordan curves with arbitrary Muckenhoupt weights
• Potential operators on carleson curves in morrey spaces
• Boundedness of the fractional maximal operator in local Morrey-type spaces
• Maximal operators on variable Lebesgue spaces with weights related to oscillations of Carleson curves

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