Please use this identifier to cite or link to this item: http://hdl.handle.net/2445/7762
Title: Transference for radial multipliers and dimension free estimates
Author: Auscher, Pascal, 1963-
Carro Rossell, María Jesús
Keywords: Multiplicadors (Matemàtica)
Multipliers
Maximal functions
Issue Date: 1994
Publisher: American Mathematical Society
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.
Note: Reproducció del document publicat a: https://doi.org/10.1090/S0002-9947-1994-1152319-9
It is part of: Transactions of the American Mathematical Society, 1994, vol. 342, núm. 2, p. 575-593.
Related resource: https://doi.org/10.1090/S0002-9947-1994-1152319-9
URI: http://hdl.handle.net/2445/7762
ISSN: 1088-6850
Appears in Collections:Articles publicats en revistes (Matemàtiques i Informàtica)

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