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.
Keywords:
prove almost diagonal condition linear tensor associated m linear operator implies boundedness operator products classical function spaces provide applications study certain singular integral operators
Affiliations des auteurs :
Árpád Bényi
1
;
Nikolaos Tzirakis
1
1
Department of Mathematics and Statistics Lederle GRT University of Massachusetts Amherst, MA 01003, U.S.A.
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author = {\'Arp\'ad B\'enyi and Nikolaos Tzirakis},
title = {Multilinear almost diagonal estimates
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journal = {Studia Mathematica},
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year = {2004},
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doi = {10.4064/sm164-1-5},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm164-1-5/}
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AU - Nikolaos Tzirakis
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and applications
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Árpád Bényi; Nikolaos Tzirakis. Multilinear almost diagonal estimates
and applications. Studia Mathematica, Tome 164 (2004) no. 1, pp. 75-89. doi: 10.4064/sm164-1-5
