The two-weighted inequalities for sublinear operators generated by \(B\) singular integrals in weighted Lebesgue spaces

DOI10.1007/S10440-012-9789-9zbMath1284.42034OpenAlexW2061632484MaRDI QIDQ385583

Vagif S. Guliyev, Fatai A. Isayev

Publication date: 2 December 2013

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

Full work available at URL: https://doi.org/10.1007/s10440-012-9789-9

zbMATH Keywords

weighted Lebesgue space\(B\) maximal operator\(B\) singular integral operator\(B\) sublinear operatortwo-weighted inequality

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)

Cites Work

• 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
• Singular integrals generated by a general translation operator. II
• On Singular Integrals
• Almost everywhere summability of Laguerre series
• On weighted norm inequalities for the Riesz transforms of functions with vanishing moments
• On maximal function and fractional integral, associated with the Bessel differential operator
• Some properties of the anisotropic Riesz-Bessel potential
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