A.E Convergence and 2-Weight Inequalities for Poisson-Laguerre Semigrops

Garrigos Aniorte, Gustavo; Hartzstein, Silvia Inés; Signes, Teresa; Viviani, Beatriz Eleonora

info:eu-repo/semantics/article

Fecha

2017-10

Registro en:

Garrigos Aniorte, Gustavo; Hartzstein, Silvia Inés; Signes, Teresa; Viviani, Beatriz Eleonora; A.E Convergence and 2-Weight Inequalities for Poisson-Laguerre Semigrops; Springer Heidelberg; Annali Di Matematica Pura Ed Applicata; 196; 5; 10-2017; 1927-1960

0373-3114

http://hdl.handle.net/11336/64236

CONICET Digital

CONICET

https://repositorioslatinoamericanos.uchile.cl/handle/2250/4364406

Autor

Garrigos Aniorte, Gustavo

Hartzstein, Silvia Inés

Signes, Teresa

Viviani, Beatriz Eleonora

Institución

Consejo Nacional de Investigaciones Científicas y Tecnológicas (Argentina)

Resumen

We find optimal decay estimates for the Poisson kernels associated with various Laguerre-type operators L. From these, we solve two problems about the Poisson semigroup e-tL. First, we find the largest space of initial data f so that e-tLf(x)→f(x) at a.e.x. Secondly, we characterize the largest class of weights w which admit 2-weight inequalities of the form ‖sup0.

Materias

Laguerre expansions,

Poisson and head semigroup

fractional laplacian

2-weight problem,

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