A CHARACTERIZATION OF SOME WEIGHTED NORM INEQUALITIES FOR THE FRACTIONAL MAXIMAL-FUNCTION

Authors
WHEEDEN RL
Citation
Rl. Wheeden, A CHARACTERIZATION OF SOME WEIGHTED NORM INEQUALITIES FOR THE FRACTIONAL MAXIMAL-FUNCTION, Studia Mathematica, 107(3), 1993, pp. 257-272
Citations number
9
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Studia Mathematica → ACNP
ISSN journal
00393223
Volume
107
Issue
3
Year of publication
1993
Pages
257 - 272
Database
ISI
SICI code
0039-3223(1993)107:3<257:ACOSWN>2.0.ZU;2-U
Abstract
A new characterization is given for the pairs of weight functions v, w for which the fractional maximal function is a bounded operator from L(v)p(X) to L(w)q(X) when 1 < p < q < infinity and X is a homogeneous space with a group structure. The case when X is n-dimensional Euclide an space is included.