Weak type \((1,1)\) estimates of the maximal function for the Laguerre semigroup in finite dimensions

DOI10.4171/RMI/118zbMath0823.42011OpenAlexW2048781376MaRDI QIDQ1199677

Ulla Dinger

Publication date: 16 January 1993

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/39410

zbMATH Keywords

maximal operatordiffusion semigroupLaguerre semigroupweak type (1,1) estimate

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Groups and semigroups of linear operators (47D03)

Related Items (11)

Weak Type Estimates for Riesz-Laguerre Transforms ⋮ Conical square functions associated with Bessel, Laguerre and Schrödinger operators in UMD Banach spaces ⋮ Spectral multipliers of Laplace transform type for the Laguerre operator ⋮ Maximal operators of exotic and non-exotic Laguerre and other semigroups associated with classical orthogonal expansions ⋮ Variation inequalities for Riesz transforms and Poisson semigroups associated with Laguerre polynomial expansions ⋮ On non-centered maximal operators related to a non-doubling and non-radial exponential measure ⋮ Spectral multipliers for multidimensional Bessel operators ⋮ Lusin type and cotype for Laguerre \(g\)-functions ⋮ Functional calculus for the Laguerre operator ⋮ Higher order Riesz transforms, fractional derivatives, and Sobolev spaces for Laguerre expansions ⋮ Riesz transforms and spectral multipliers of the Hodge-Laguerre operator

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