Multilinear analysis on metric spaces

Loukas Grafakos, et al. Multilinear analysis on metric spaces. 2014. <http://eudml.org/doc/285994>.

@book{LoukasGrafakos2014,
abstract = {The multilinear Calderón-Zygmund theory is developed in the setting of RD-spaces which are spaces of homogeneous type equipped with measures satisfying a reverse doubling condition. The multiple-weight multilinear Calderón-Zygmund theory in this context is also developed in this work. The bilinear T1-theorems for Besov and Triebel-Lizorkin spaces in the full range of exponents are among the main results obtained. Multilinear vector-valued T1 type theorems on Lebesgue spaces, Besov spaces, and Triebel-Lizorkin spaces are also proved. Applications include the boundedness of paraproducts and bilinear multiplier operators on products of Besov and Triebel-Lizorkin spaces.},
author = {Loukas Grafakos, Liguang Liu, Diego Maldonado, Dachun Yang},
keywords = {multilinear Calderon-Zygmund operators; space of homogeneous type; Besov spaces; Triebel-Lizorkin spaces; multilinear weighted estimate; T1 theorem; paraproducts},
language = {eng},
title = {Multilinear analysis on metric spaces},
url = {http://eudml.org/doc/285994},
year = {2014},
}

TY - BOOK
AU - Loukas Grafakos
AU - Liguang Liu
AU - Diego Maldonado
AU - Dachun Yang
TI - Multilinear analysis on metric spaces
PY - 2014
AB - The multilinear Calderón-Zygmund theory is developed in the setting of RD-spaces which are spaces of homogeneous type equipped with measures satisfying a reverse doubling condition. The multiple-weight multilinear Calderón-Zygmund theory in this context is also developed in this work. The bilinear T1-theorems for Besov and Triebel-Lizorkin spaces in the full range of exponents are among the main results obtained. Multilinear vector-valued T1 type theorems on Lebesgue spaces, Besov spaces, and Triebel-Lizorkin spaces are also proved. Applications include the boundedness of paraproducts and bilinear multiplier operators on products of Besov and Triebel-Lizorkin spaces.
LA - eng
KW - multilinear Calderon-Zygmund operators; space of homogeneous type; Besov spaces; Triebel-Lizorkin spaces; multilinear weighted estimate; T1 theorem; paraproducts
UR - http://eudml.org/doc/285994
ER -