The boundedness of the generalized anisotropic potentials with rough kernels in the Lorentz spaces

DOI10.1080/10652469.2010.548334zbMath1230.42019OpenAlexW1996384366MaRDI QIDQ3107314

A. Serbetci, Ismail Ekincioglu, Vagif S. Guliyev

Publication date: 23 December 2011

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2010.548334

zbMATH Keywords

Lorentz spacesLaplace-Bessel differential operatorgeneralized anisotropic potential integralrough anisotropic fractional integral

Mathematics Subject Classification ID

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

Related Items (1)

Some inequalities for homogeneous $B_n$-potential type integrals on $H^{p}_{\Delta_{\nu}}$ Hardy spaces

Cites Work

• General B-hypersingular integrals with homogeneous characteristic
• A sharp inequality of J. Moser for higher order derivatives
• Necessary and sufficient conditions for the boundedness of rough B-fractional integral operators in the Lorentz spaces
• Boundedness of Riesz Potential Generated by Generalized Shift Operator on Ba Spaces
• Weakly Differentiable Functions
• On boundedness of the generalizedB-potential integral operators in the Lorentz spaces
• Some properties of the anisotropic Riesz-Bessel potential

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