Multilinear square functions and multiple weights

Autor:	Loukas Grafakos, Parasar Mohanty, Saurabh Shrivastava
Rok vydání:	2019
Předmět:	Combinatorics Multilinear map Class (set theory) General Mathematics 010102 general mathematics Bilinear interpolation Sigma Disjoint sets 0101 mathematics 01 natural sciences Square (algebra) Mathematics
Zdroj:	MATHEMATICA SCANDINAVICA. 124:149-160
ISSN:	1903-1807 0025-5521
Popis:	In this paper we prove weighted estimates for a class of smooth multilinear square functions with respect to multilinear $A_{\vec P}$ weights. In particular, we establish weighted estimates for the smooth multilinear square functions associated with disjoint cubes of equivalent side-lengths. As a consequence, for this particular class of multilinear square functions, we provide an affirmative answer to a question raised by Benea and Bernicot (Forum Math. Sigma 4, 2016, e26) about unweighted estimates for smooth bilinear square functions.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::31270e539cf6cdf2760507dd118c2375 https://doi.org/10.7146/math.scand.a-105504 Zobrazit plný text záznamu