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)MultipliersMaximal 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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