Title:
|
Transference for radial multipliers and dimension free estimates
|
Author:
|
Auscher, Pascal, 1963-; Carro Rossell, María Jesús
|
Other authors:
|
Universitat de Barcelona |
Abstract:
|
For a large class of radial multipliers on $ {L^p}({{\mathbf{R}}^{\mathbf{n}}})$, we obtain bounds that do not depend on the dimension n. These estimates apply to well-known multiplier operators and also give another proof of the boundedness of the Hardy-Littlewood maximal function over Euclidean balls on $ {L^p}({{\mathbf{R}}^{\mathbf{n}}})$, $ p \geq 2$, with constant independent of the dimension. The proof is based on the corresponding result for the Riesz transforms and the method of rotations. |
Subject(s):
|
-Multiplicadors (Matemàtica) -Multipliers -Maximal functions |
Rights:
|
(c) American Mathematical Society, 1994
|
Document type:
|
Article Article - Published version |
Published by:
|
American Mathematical Society
|
Share:
|
|