Harmonic Analysis and Partial Differential Equations

Patricio Cifuentes, JosÃ© GarcÃa-Cuerva, Gustavo GarrigÃ s, Eugenio HernÃ¡ndez, JosÃ© Martell, Javier Parcet, Keith M. Rogers, Alberto Ruiz, Fernando Soria, Ana Vargas

Type: Book

Publication Date: 2014-02-17

Citations: 18

DOI: https://doi.org/10.1090/conm/612

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Abstract

We show that if a weight w ∈ C d 2t and there is q > 1 such that w 2t ∈ A d q , then the L 2 -norm of the t-Haar multiplier of complexity (m, n) associated to w depends on the square root of the C d 2t -characteristic of w times the square root A d q -characteristic of w 2t times a constant that depends polynomially on the complexity.In particular, if w ∈ C d 2t ∩ A d ∞ then w 2t ∈ A d q for some q > 1.

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Contemporary mathematics - American Mathematical Society - View - PDF
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