Weighted Exponential Inequalities-Reference-Cited by-同舟云学术

Weighted Exponential Inequalities

Published:2001-03 Issue:1 Volume:8 Page:69-86
ISSN:1572-9176
Container-title:gmj
language:en
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Author:

Heinig H. P.¹,Kerman R.²,Krbec M.³

Affiliation:

1. Dept. of Mathematics and Statistics, McMaster University, Hamilton, Ontario, Canada L8S 4K1. E-mail:

2. Dept. of Mathematics, Brock University, St. Catharines, Ontario, Canada L2S 3A1. E-mail:

3. Institute of Mathematics, Academy of Sciences of the Czech Republic, Žitná 25, 115 67 Prague 1, Czech Republic. E-mail:

Abstract

Abstract Necessary and sufficient conditions on weight pairs are found for the validity of a class of weighted exponential inequalities involving certain classical operators. Among the operators considered are the Hardy averaging operator and its variants in one and two dimensions, as well as the Laplace transform. Discrete analogues yield characterizations of weighted forms of Carleman's inequality.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

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