Multilinear almost diagonal estimates and applications

Árpád Bényi; Nikolaos Tzirakis

Studia Mathematica (2004)

  • Volume: 164, Issue: 1, page 75-89
  • ISSN: 0039-3223

Abstract

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We prove that an almost diagonal condition on the (m + 1)-linear tensor associated to an m-linear operator implies boundedness of the operator on products of classical function spaces. We then provide applications to the study of certain singular integral operators.

How to cite

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Árpád Bényi, and Nikolaos Tzirakis. "Multilinear almost diagonal estimates and applications." Studia Mathematica 164.1 (2004): 75-89. <http://eudml.org/doc/284762>.

@article{ÁrpádBényi2004,
abstract = {We prove that an almost diagonal condition on the (m + 1)-linear tensor associated to an m-linear operator implies boundedness of the operator on products of classical function spaces. We then provide applications to the study of certain singular integral operators.},
author = {Árpád Bényi, Nikolaos Tzirakis},
journal = {Studia Mathematica},
keywords = {multilinear operators; almost diagonal conditions; wavelets; atoms; molecules; pseudodifferential operators; Calderón-Zygmund singular integrals; Triebel-Lizorkin spaces},
language = {eng},
number = {1},
pages = {75-89},
title = {Multilinear almost diagonal estimates and applications},
url = {http://eudml.org/doc/284762},
volume = {164},
year = {2004},
}

TY - JOUR
AU - Árpád Bényi
AU - Nikolaos Tzirakis
TI - Multilinear almost diagonal estimates and applications
JO - Studia Mathematica
PY - 2004
VL - 164
IS - 1
SP - 75
EP - 89
AB - We prove that an almost diagonal condition on the (m + 1)-linear tensor associated to an m-linear operator implies boundedness of the operator on products of classical function spaces. We then provide applications to the study of certain singular integral operators.
LA - eng
KW - multilinear operators; almost diagonal conditions; wavelets; atoms; molecules; pseudodifferential operators; Calderón-Zygmund singular integrals; Triebel-Lizorkin spaces
UR - http://eudml.org/doc/284762
ER -

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