The boundedness of high order Riesz-Bessel transformations generated by the generalized shift operator in weighted \(L_{p,\omega ,\gamma}\)-spaces with general weights

DOI10.1007/s10440-008-9334-zzbMath1192.42012OpenAlexW2060092484MaRDI QIDQ966493

Ismail Ekincioglu

Publication date: 23 April 2010

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-008-9334-z

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) Integral operators (47G10)

Related Items

The two-weighted inequalities for sublinear operators generated by \(B\) singular integrals in weighted Lebesgue spaces ⋮ Some results concerning Riesz–Bessel transforms of high order ⋮ Characterizations of Hardy spaces associated with Laplace-Bessel operators ⋮ On the boundedness of the generalized translation operator on variable exponent Lebesgue spaces ⋮ \(B\)-maximal commutators, commutators of \(B\)-singular integral operators and \(B\)-Riesz potentials on \(B\)-Morrey spaces ⋮ A note on maximal operators related to Laplace-Bessel differential operators on variable exponent Lebesgue spaces ⋮ \(B_n\)-maximal operator and \(B_n\)-singular integral operators on variable exponent Lebesgue spaces ⋮ B L m p , ν estimates for the Riesz transforms associated with Laplace-Bessel operator ⋮ Bessel type Kolmogorov inequalities on weighted Lebesgue spaces

Cites Work

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• Inversion of the Lions transmutation operators using generalized wavelets
• The Sobolev theorem for the Riesz \(B\)-potentials
• On weighted estimates of high-order Riesz--Bessel transformations generated by the generalized shift operator
• Necessary and sufficient conditions for the boundedness of rough B-fractional integral operators in the Lorentz spaces
• On convolution products of radial measures on the Heisenberg group
• Classical Expansions and Their Relation to Conjugate Harmonic Functions
• Multipliers of the mixed Fourier-Bessel transformation

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