Seminario de Análisis y Aplicaciones UAM-ICMAT
Oscar Domínguez, UCM
New estimates for maximal functions
Viernes, 17 de enero de 2020 a las 11:30 h
Aula Naranja, ICMAT
Resumen:
Maximal functions play a central role in the study of differentiation, singular integrals and almost everywhere convergence. With Sergey Tikhonov (ICREA) we recently proved some pointwise estimates for maximal functions in terms of smoothness and rearrangements. I plan to discuss the recent progress on these topics and some applications. In particular, I will discuss the Fefferman-Stein inequality for the sharp maximal function for r.i. spaces which are close to L∞.
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