B L m p , ν estimates for the Riesz transforms associated with Laplace-Bessel operator

DOI10.22436/jnsa.011.06.09zbMath1449.42012OpenAlexW2801953618MaRDI QIDQ5225421

Serap Guner, Ismail Ekincioglu, Cansu Keskin

Publication date: 22 July 2019

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

Full work available at URL: https://doi.org/10.22436/jnsa.011.06.09

zbMATH Keywords

fractional integral operatorBeppo Levi spacesLaplace-Bessel operatorRiesz-Bessel transformBessel generalized shift operator

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Special integral transforms (Legendre, Hilbert, etc.) (44A15)

Related Items (1)

Generalized Bessel potential and its application to non-homogeneous singular screened Poisson equation

Cites Work

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• High order Riesz transforms and mean value formula for generalized translate operator
• The boundedness of high order Riesz-Bessel transformations generated by the generalized shift operator in weighted \(L_{p,\omega ,\gamma}\)-spaces with general weights
• The Sobolev theorem for the Riesz \(B\)-potentials
• Riesz potentials, higher Riesz transforms and Beppo Levi spaces
• Integral representations of Beppo Levi functions of higher order
• Singular integrals generated by a general translation operator. II
• Les espaces du type de Beppo Levi
• On the closure of the Lizorkin space in spaces of Beppo Levi type
• ON SPACES OF RIESZ POTENTIALS
• Higher riesz transforms and derivatives of the riesz kernels
• WEIGHTED ESTIMATES OF MULTIDIMENSIONAL SINGULAR INTEGRALS GENERATED BY THE GENERALIZED SHIFT OPERATOR
• On maximal function and fractional integral, associated with the Bessel differential operator
• Multipliers of the mixed Fourier-Bessel transformation

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