Dyadic square function - Resultados de la búsqueda - Depósito Digital de Documentos de la UAB

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20 p, 392.3 KB

Weighted square function inequalities / Osekowski, Adam (University of Warsaw (Polònia). Department of Mathematics, Informatics and Mechanics)
For an integrable function f on [0, 1)d, let S(f) and M f denote the corresponding dyadic square function and the dyadic maximal function of f, respectively. The paper contains the proofs of the following statements. [...]
2018 - DOI (Digital Object Identifier)

10.5565/PUBLMAT6211804
Publicacions matemàtiques, Vol. 62 Núm. 1 (2018) , p. 75-94 (Articles)

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19 p, 191.4 KB

Extrapolation and sharp norm estimates for classical operators on weighted Lebesgue spaces / Dragicevic, Oliver ; Grafakos, Loukas ; Pereyra, María Cristina ; Petermichl, Stefanie
We obtain sharp weighted Lp estimates in the Rubio de Francia extrapolation theorem in terms of the Ap characteristic constant of the weight. Precisely, if for a given 1 < r < [infinity] the norm of a sublinear operator on Lr(w) is bounded by a function of the Ar characteristic constant of the weight w, then for p > r it is bounded on Lp(v) by the same increasing function of the Ap characteristic constant of v, and for p < r it is bounded on Lp(v) by the same increasing function of the r-1/p-1 power of the Ap characteristic constant of v. [...]
2005 - DOI (Digital Object Identifier)

10.5565/PUBLMAT_49105_03
Publicacions matemàtiques, V. 49 N. 1 (2005) , p. 73-91

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