Integral restriction for bilinear operators

Weiren Zhao; Meng Wang; Guoping Zhao

doi:10.5565/PUBLMAT_60216_06

Integral restriction for bilinear operators

Weiren Zhao, Meng Wang, Guoping Zhao

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We consider the integral domain restriction operator T for certain bi linear operator T. We obtain that if (s;p1; p2) satisfies 1/p1 +1/ p2 ≤ minf1;sg /2an T_Lp1X_Lp2Ls < Then T_Lp1X_Lp2Ls < 1. For some special domain this property holds for triplets (s; p1; p2) satisfying 1/p1 + 1/p2>1/ minf1;sg.

Original language	English (US)
Pages (from-to)	485-500
Number of pages	16
Journal	Publicacions Matematiques
Volume	60
Issue number	2
DOIs	https://doi.org/10.5565/PUBLMAT_60216_06
State	Published - 2016

Keywords

Integral restriction
Multilinear operator

ASJC Scopus subject areas

General Mathematics

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abstract = "We consider the integral domain restriction operator T for certain bi linear operator T. We obtain that if (s;p1; p2) satisfies 1/p1 +1/ p2 ≤ minf1;sg /2an TLp1XLp2Ls < Then TLp1XLp2Ls < 1. For some special domain this property holds for triplets (s; p1; p2) satisfying 1/p1 + 1/p2>1/ minf1;sg.",

keywords = "Integral restriction, Multilinear operator",

author = "Weiren Zhao and Meng Wang and Guoping Zhao",

year = "2016",

doi = "10.5565/PUBLMAT_60216_06",

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T1 - Integral restriction for bilinear operators

AU - Zhao, Weiren

AU - Wang, Meng

AU - Zhao, Guoping

PY - 2016

Y1 - 2016

N2 - We consider the integral domain restriction operator T for certain bi linear operator T. We obtain that if (s;p1; p2) satisfies 1/p1 +1/ p2 ≤ minf1;sg /2an TLp1XLp2Ls < Then TLp1XLp2Ls < 1. For some special domain this property holds for triplets (s; p1; p2) satisfying 1/p1 + 1/p2>1/ minf1;sg.

AB - We consider the integral domain restriction operator T for certain bi linear operator T. We obtain that if (s;p1; p2) satisfies 1/p1 +1/ p2 ≤ minf1;sg /2an TLp1XLp2Ls < Then TLp1XLp2Ls < 1. For some special domain this property holds for triplets (s; p1; p2) satisfying 1/p1 + 1/p2>1/ minf1;sg.

KW - Integral restriction

KW - Multilinear operator

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EP - 500

JO - Publicacions Matematiques

JF - Publicacions Matematiques

IS - 2

ER -

Integral restriction for bilinear operators

Abstract

Keywords

ASJC Scopus subject areas

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