Integral restriction for bilinear operators
Zhao, Weiren (Zhejiang University. Department of Mathematics)
Wang, Meng (Zhejiang University. Department of Mathematics)
Zhao, Guoping (Xiamen University of Technology. School of Applied Mathematics)

Date:	2016
Abstract:	We consider the integral domain restriction operator TΩ for certain bilinear operator T. We obtain that if (s, p1, p2) satisfies 1 p1+ 1 p2 ≥ 2 min{1,s} and kTkLp1 ×Lp2→Ls < ∞, then kTΩkLp1 ×Lp2→Ls < ∞. For some special domain Ω, this property holds for triplets (s, p1, p2) satisfying 1 p1 + 1 p2 > 1 min{1,s}.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Integral restriction ; Multilinear operator
Published in:	Publicacions matemàtiques, Vol. 60 Núm. 2 (2016) , p. 485-500 (Articles) , ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/311013
DOI: 10.5565/PUBLMAT_60216_06

16 p, 372.2 KB

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