On Marcinkiewicz integral with homogeneous kernels

Authors
Ding, Y Lu, SZ Xue, QY
Citation
Y. Ding et al., On Marcinkiewicz integral with homogeneous kernels, J MATH ANAL, 245(2), 2000, pp. 471-488
Citations number
11
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN journal
0022247X → ACNP
Volume
245
Issue
2
Year of publication
2000
Pages
471 - 488
Database
ISI
SICI code
0022-247X(20000515)245:2<471:OMIWHK>2.0.ZU;2-#
Abstract
In this paper, the authors study the boundedness of the Marcinkiewicz integ ral mu(Omega) on BMO(R-n) and the Campanato spaces E-alpha,E-p(R-n). Here O mega is homogeneous of degree zero satisfying a class of L-q-Dini condition s. The results in this paper are a substantial improvement of some known re sults. (C) 2000 Academic Press.