Heat-diffusion and Poisson integrals for Laguerre expansions
From MaRDI portal
Publication:1326963
DOI10.2748/tmj/1178225803zbMath0793.42019OpenAlexW2159041740MaRDI QIDQ1326963
Publication date: 8 August 1994
Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2748/tmj/1178225803
Maximal functions, Littlewood-Paley theory (42B25) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) General harmonic expansions, frames (42C15)
Related Items (24)
Sharp Hardy's type inequality for Laguerre expansions ⋮ On weighted transplantation and multipliers for Laguerre expansions ⋮ Transferring strong boundedness among Laguerre orthogonal systems ⋮ Riesz transforms for multi-dimensional Laguerre function expansions ⋮ Weighted norm inequalities for heat-diffusion Laguerre's semigroups ⋮ Parabolic equations involving Laguerre operators and weighted mixed-norm estimates ⋮ Riesz transforms and conjugacy for Laguerre function expansions of Hermite type ⋮ A.e. convergence and 2-weight inequalities for Poisson-Laguerre semigroups ⋮ On \(L^{p}\)-contractivity of Laguerre semigroups ⋮ Sharp Hardy's inequality for orthogonal expansions in \(H^p\) spaces ⋮ Molecular decompositions of homogeneous Besov type spaces for Laguerre function expansions and applications ⋮ Bessel potential space on the Laguerre hypergroup ⋮ Littlewood-Paley-Stein type square functions based on Laguerre semigroups ⋮ Power weighted \(L^p\) -inequalities for Laguerre-Riesz transforms ⋮ On Hardy's inequality for Hermite expansions ⋮ BMO spaces related to Laguerre semigroups ⋮ Besov and {T}riebel-{L}izorkin spaces associated with {L}aguerre expansions of {H}ermite type ⋮ Transference between Laguerre and Hermite settings ⋮ A Cohen-Type Inequality for Fourier Expansions with Respect to Non-Discrete Laguerre–Sobolev Inner Product ⋮ Local maximal functions and operators associated to Laguerre expansions ⋮ The multi-dimensional pencil phenomenon for Laguerre heat-diffusion maximal operators ⋮ Atomic decomposition of Hardy spaces associated with certain Laguerre expansions ⋮ Weak type (1,1) estimates for Caffarelli-Calderón generalized maximal operators for semigroups associated with Bessel and Laguerre operators ⋮ Heat-diffusion maximal operators for Laguerre semigroups with negative parameters
Cites Work
- Unnamed Item
- Mean Cesaro summability of Laguerre expansions and norm estimates with shifted parameter
- Summability of Laguerre expansions
- Mean Summability Methods for Laguerre Series
- Almost everywhere summability of Laguerre series
- Almost everywhere convergence of some summabillity methods for Laguerre series
- On almost everywhere and mean convergence of Hermite and Laguerre expansions
- Mean Summability for Ultraspherical Polynomials.
- Poisson Integrals for Hermite and Laguerre Expansions
- Mean Convergence of Hermite and Laguerre Series. I
- The Mean Convergence of Orthogonal Series. II
This page was built for publication: Heat-diffusion and Poisson integrals for Laguerre expansions
