Abstract
Let K n be the n -dimensional vector space over a local field K . Two maximal multiplier theorems on L p( K n) are proved for certain multiplier operator sequences associated with regularization and dilation respectively. Consequently the a. e. convergence of such multiplier operator sequences is obtained. This sharpens Taibleson’s main result and applies to several important singular integral operators on K n.
Original language | American English |
---|---|
Journal | Science in China Series A: Mathematics |
Volume | 40 |
DOIs | |
State | Published - Jan 1997 |
Keywords
- Bochner-Riesz means
- Calderón-Zygmund singular integrals
- Local fields
- Multiplier
DC Disciplines
- Mathematics