Sharp weighted multidimensional integral inequalities of Chebyshev type

Authors
Barza, S Persson, LE Soria, J
Citation
S. Barza et al., Sharp weighted multidimensional integral inequalities of Chebyshev type, J MATH ANAL, 236(2), 1999, pp. 243-253
Citations number
7
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN journal
0022247X → ACNP
Volume
236
Issue
2
Year of publication
1999
Pages
243 - 253
Database
ISI
SICI code
0022-247X(19990815)236:2<243:SWMIIO>2.0.ZU;2-U
Abstract
We prove a general Chebyshev inequality for monotone functions in higher di mensions. This result generalizes the classical one-dimensional inequality and recovers some extensions already known for product weights. In all case s we find the best constant in the inequality. We also consider the case of more general operators, (C) 1999 Academic Press.