Some properties of the potential operators in Morrey spaces defined on Carleson curves

DOI10.1080/17476930903276035zbMath1209.31003OpenAlexW2044144504MaRDI QIDQ4931842

Jamal I. Mamedkhanov, I. B. Dadashova

Publication date: 1 October 2010

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476930903276035

zbMATH Keywords

potential operatorMorrey spacefractional maximal operatorCarleson curve

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Fractional derivatives and integrals (26A33) Linear operators on function spaces (general) (47B38) Integral representations, integral operators, integral equations methods in two dimensions (31A10)

Related Items (1)

Potential operators in modified Morrey spaces defined on Carleson curves

Cites Work

• Boundedness of maximal operators and potential operators on Carleson curves in Lebesgue spaces with variable exponent
• Morrey spaces and fractional integral operators
• A note on Riesz potentials
• Weighted Hardy and singular operators in Morrey spaces
• On the theory of \({\mathcal L}_{p, \lambda}\) spaces
• Toeplitz operators with PC symbols on general Carleson Jordan curves with arbitrary Muckenhoupt weights
• Maximal operators on variable Lebesgue spaces with weights related to oscillations of Carleson curves

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