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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/7762
Transference for radial multipliers and dimension free estimates
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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.
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AUSCHER, Pascal and CARRO ROSSELL, María Jesús. Transference for radial multipliers and dimension free estimates. Transactions of the American Mathematical Society. 1994. Vol. 342, num. 2, pags. 575-593. ISSN 1088-6850. [consulted: 6 of June of 2026]. Available at: https://hdl.handle.net/2445/7762