On \(L^{p}\)-contractivity of Laguerre semigroups
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Publication:384315
zbMath1279.47062arXiv1011.5437MaRDI QIDQ384315
Adam Nowak, Krzystztof Stempak
Publication date: 27 November 2013
Published in: Illinois Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1011.5437
diffusion semigroupMarkovian semigroupBessel semigroupcontractive semigroupLaguerre function systemLaguerre semigroupsub-Markovian semigroup
Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Groups and semigroups of linear operators (47D03) Integral operators (47G10)
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Cites Work
- \(L^2\)-theory of Riesz transforms for orthogonal expansions
- Riesz transforms and conjugacy for Laguerre function expansions of Hermite type
- The multi-dimensional pencil phenomenon for Laguerre heat-diffusion maximal operators
- On logarithmic Sobolev constant for diffusion semigroups
- Heat-diffusion and Poisson integrals for Laguerre expansions
- On Riesz transforms for Laguerre expansions
- Riesz transforms for multi-dimensional Laguerre function expansions
- Heat-diffusion maximal operators for Laguerre semigroups with negative parameters
- Weighted norm inequalities for heat-diffusion Laguerre's semigroups
- Weak type ( 1 , 1 ) estimates for maximal operators associated with various multi-dimensional systems of Laguerre functions
- Mapping properties of fundamental operators in harmonic analysis related to Bessel operators
- An Example in the Theory of Hypercontractive Semigroups
- Heat-diffusion and Poisson integrals for Laguerre and special Hermite expansions on weighted Lpspaces
- Weighted norm estimates for the maximal operator of the Laguerre functions heat diffusion semigroup
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