ALMOST EVERYWHERE CONVERGENCE OF SEQUENCES OF MULTIPLIER OPERATORS ONLOCAL-FIELDS

Authors
ZHENG SJ ZHENG WX
Citation
Sj. Zheng et Wx. Zheng, ALMOST EVERYWHERE CONVERGENCE OF SEQUENCES OF MULTIPLIER OPERATORS ONLOCAL-FIELDS, Science in China. Series A, Mathematics, Physics, Astronomy & Technological Sciences, 40(1), 1997, pp. 10-23
Citations number
13
Categorie Soggetti
Multidisciplinary Sciences
Journal title
Science in China. Series A, Mathematics, Physics, Astronomy & Technological Sciences → ACNP
ISSN journal
10016511
Volume
40
Issue
1
Year of publication
1997
Pages
10 - 23
Database
ISI
SICI code
1001-6511(1997)40:1<10:AECOSO>2.0.ZU;2-1
Abstract
Let K-n be the n-dimensional vector space over a local field K. Two ma ximal multiplier theorems on L(p)(K-n) are proved for certain multipli er operator sequences associated with regularization and dilation resp ectively. Consequently the a.e. convergence of such multiplier operato r sequences is obtained. This sharpens Taibleson's main result and app lies to several important singular integral operators on K-n.