Weak-type inequalities for higher order Riesz-Laguerre transforms

被引：9

作者：

Forzani, Liliana ^{[2
,3
,4
]}

Sasso, Emanuela ^{[1
]}

Scotto, Roberto ^{[2
,3
,4
]}

机构：

[1] Univ Genoa, Dipartimento Matemat, I-16146 Genoa, Italy

[2] Univ Nacl Litoral, Dept Matemat, RA-3000 Santa Fe, Argentina

[3] Univ Nacl Litoral, IMAL, RA-3000 Santa Fe, Argentina

[4] Consejo Nacl Invest Cient & Tecn, RA-3000 Santa Fe, Argentina

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2009年 / 256卷 / 01期

关键词：

Riesz transforms; Laguerre; Polynomial expansion; Weak-type; ORNSTEIN-UHLENBECK SEMIGROUP; MAXIMAL OPERATORS; MULTIPLIERS;

D O I：

10.1016/j.jfa.2008.09.004

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study the weak-type (1, 1) boundedness of the higher order Riesz-Laguerre transforms associated with the Laguerre polynomials. In particular, we obtain the boundedness for the Riesz-Laguerre transforms of order 2 and we find also the sharp polynomial weight omega that makes the Riesz-Laguerre transforms of order greater than two continuous from L-1 (omega d mu(alpha)) into L-1,L-infinity (d mu(alpha)), being mu(alpha) the Laguerre measure. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：258 / 274

页数：17

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