Power weighted \(L^p\) -inequalities for Laguerre-Riesz transforms

DOI10.1007/s11512-007-0052-yzbMath1161.44005OpenAlexW1965190281MaRDI QIDQ950719

Carlos Segovia, Beatriz E. Viviani, José Luis Torrea, Eleonor O. Harboure

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/s11512-007-0052-y

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Harmonic analysis in one variable (42A99) Ordinary differential operators (34L99)

Related Items

Transferring strong boundedness among Laguerre orthogonal systems, Parabolic equations involving Bessel operators and singular integrals, Mapping properties of fundamental harmonic analysis operators in the exotic Bessel framework, Boundedness of operators on weighted Morrey-Campanato spaces in the Bessel setting, Boundedness of oscillation and variation of semigroups associated with Bessel Schrödinger operators, Transferring boundedness from conjugate operators associated with Jacobi, Laguerre, and Fourier-Bessel expansions to conjugate operators in the Hankel setting, Transference between Laguerre and Hermite settings, Lusin type and cotype for Laguerre \(g\)-functions, Area Littlewood-Paley functions associated with Hermite and Laguerre operators, Weighted Lebesgue and \(BMO^\gamma\) norm inequalities for the Calderón and Hilbert operators, Local maximal functions and operators associated to Laguerre expansions, Local fractional and singular integrals on open subsets

Cites Work

• Unnamed Item
• Unnamed Item
• Transferring strong boundedness among Laguerre orthogonal systems
• Weighted estimates for the Hankel transform transplantation operator
• Riesz transforms and conjugacy for Laguerre function expansions of Hermite type
• Heat-diffusion and Poisson integrals for Laguerre expansions
• Poisson integrals and Riesz transforms for Hermite function expansions with weights.
• Weighted norm inequalities for heat-diffusion Laguerre's semigroups
• Weighted weak type Hardy inequalities with applications to Hilbert transforms and maximal functions
• A Note on a Transplantation Theorem of Kanjin and Multiple Laguerre Expansions
• Weighted norm estimates for the maximal operator of the Laguerre functions heat diffusion semigroup
• Riesz transforms and g-function for Laguerre expansions
• Classical Expansions and Their Relation to Conjugate Harmonic Functions
• Poisson Integrals for Hermite and Laguerre Expansions
• Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63)
• Hardy's inequality with weights