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Bilinear paraproducts revisited
Author(s) -
Bényi Árpad,
Maldonado Diego,
Nahmod Andrea R.,
Torres Rodolfo H.
Publication year - 2010
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200710157
Subject(s) - bilinear interpolation , mathematics , realization (probability) , pure mathematics , character (mathematics) , function space , function (biology) , calculus (dental) , algebra over a field , geometry , statistics , medicine , dentistry , evolutionary biology , biology
Abstract Boundedness properties for bilinear paraproducts on several function spaces are presented. The methods are based on the realization of paraproducts as bilinear Calderón‐Zygmund operators and the molecular character‐ization of function spaces. This provides a unified approach for the study of paraproducts, recovering some know results and establishing several new (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)