Higher order Riesz transforms associated with Bessel operators

DOI10.1007/S11512-008-0078-9zbMath1159.42010OpenAlexW2014825136MaRDI QIDQ950714

Jorge J. Betancor, Teresa Martinez, Lourdes Rodríguez-Mesa, J. Carlos Fariña

Publication date: 27 October 2008

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11512-008-0078-9

zbMATH Keywords

boundednessLaplacianRiesz transforms

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Function spaces arising in harmonic analysis (42B35) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Fractional derivatives and integrals (26A33) Linear operators on function spaces (general) (47B38) Integral operators (47G10)

Related Items (12)

Riesz-Jacobi transforms as principal value integrals ⋮ Parabolic equations involving Bessel operators and singular integrals ⋮ Conical square functions associated with Bessel, Laguerre and Schrödinger operators in UMD Banach spaces ⋮ Maximal operators of exotic and non-exotic Laguerre and other semigroups associated with classical orthogonal expansions ⋮ Mapping properties of fundamental harmonic analysis operators in the exotic Bessel framework ⋮ Calderón-Zygmund operators in the Bessel setting for all possible type indices ⋮ Inequalities for second-order Riesz transforms associated with Bessel expansions ⋮ Higher order Riesz transforms for Fourier-Bessel expansions ⋮ Calderón-Zygmund operators in the Bessel setting ⋮ Fractional integrals for the Weinstein operator ⋮ Maximal operators, Riesz transforms and Littlewood-Paley functions associated with Bessel operators on BMO ⋮ Solutions of Weinstein equations representable by Bessel Poisson integrals of BMO functions

Cites Work

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