# name
Transference for radial multipliers and dimension free estimates

# metadata.dc.description.abstract[].value
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.

# metadata.dc.relation.ispartof[].value
Transactions of the American Mathematical Society, 1994, vol. 342, núm. 2, p. 575-593.

# metadata.dc.source[].value
Articles publicats en revistes (Matemàtiques i Informàtica)

# metadata.dc.title[].value
Transference for radial multipliers and dimension free estimates