Weighted L-P inequalities for a class of integral operators including the classical index transforms

Authors
Gonzalez, BJ Negrin, ER
Citation
Bj. Gonzalez et Er. Negrin, Weighted L-P inequalities for a class of integral operators including the classical index transforms, J MATH ANAL, 258(2), 2001, pp. 711-719
Citations number
6
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN journal
0022247X → ACNP
Volume
258
Issue
2
Year of publication
2001
Pages
711 - 719
Database
ISI
SICI code
0022-247X(20010615)258:2<711:WLIFAC>2.0.ZU;2-9
Abstract
In this paper we study the behaviour of certain integral operators acting o n weighted LP spaces. Particular cases include the classical integral trans forms of Kontorovich and Levedev and Mehler and Fock and the F-2(1)-index t ransform considered by Gonzalez, Hayek, and Negrin. (C) 2001 Academic Press .