Heat-diffusion maximal operators for Laguerre semigroups with negative parameters

被引：25

作者：

Macías, R ^{[1
]}

Segovia, C

Torrea, JL

机构：

[1] Univ Autonoma Madrid, Dept Matemat, Fac Ciencias, E-28049 Madrid, Spain

[2] Univ Nacl Litoral, IMAL, FIQ, CONICET, RA-3000 Santa Fe, Argentina

[3] Consejo Nacl Invest Cient & Tecn, Inst Argentino Matemat, Buenos Aires, DF, Argentina

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2005年 / 229卷 / 02期

关键词：

heat and Poisson semigroups; Laguerre functions;

D O I：

10.1016/j.jfa.2005.02.005

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove L-P boundedness for the maximal operator of the heat semigroup associated to the Laguerre functions, {L-k(x)}(k), when the parameter a is greater than -1. Namely, the maximal operator is of strong type (p, p) if p > 1 and 2/2+alpha < p < 2/-alpha, when -1 < alpha < 0. If alpha > 0 there is strong type for 1 < p < infinity. The behavior at the end points is studied in detail. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：300 / 316

页数：17

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