ON A WEAK TYPE (1,1) INEQUALITY FOR A MAXIMAL CONJUGATE FUNCTION

Authors
ASMAR NH MONTGOMERYSMITH SJ
Citation
Nh. Asmar et Sj. Montgomerysmith, ON A WEAK TYPE (1,1) INEQUALITY FOR A MAXIMAL CONJUGATE FUNCTION, Studia Mathematica, 125(1), 1997, pp. 13-21
Citations number
8
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Studia Mathematica → ACNP
ISSN journal
00393223
Volume
125
Issue
1
Year of publication
1997
Pages
13 - 21
Database
ISI
SICI code
0039-3223(1997)125:1<13:OAWT(I>2.0.ZU;2-V
Abstract
In their celebrated paper [3], Burkholder, Gundy, and Silverstein used Brownian motion to derive a maximal function characterization of H-p spaces for 0 < p < infinity. In the present paper, are show that the m ethods in [3] extend to higher dimensions and yield a dimension-free w eak type (1,1) estimate for a conjugate function on the N-dimensional torus.