Título:
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Transference for radial multipliers and dimension free estimates
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Autor/a:
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Auscher, Pascal, 1963-; Carro Rossell, María Jesús
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Otros autores:
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Universitat de Barcelona |
Abstract:
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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. |
Materia(s):
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-Multiplicadors (Matemàtica) -Multipliers -Maximal functions |
Derechos:
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(c) American Mathematical Society, 1994
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Tipo de documento:
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Artículo Artículo - Versión publicada |
Editor:
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American Mathematical Society
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