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A MATHEMATICAL PROOF OF A PROBABILIsTIC MODEL OF hardy's inequality

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Analysis in Theory and Applications 2012年第1期28卷 95-100页

作者： Prateek K Taleigao Plateau Goa University India

In this paper using an argument from [1] , we prove one of the probabilistic version of hardy＇s inequality.

关键词： random variables uniform partition hardy＇s inequality

NEW WEIGHTED MULTILINEAR OPERATORs AND COMMUTATORs OF hardy-CEsàRO TYPE

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Acta Mathematica scientia 2015年第6期35卷 1411-1425页

作者： Ha Duy HUNG Luong Dang KY High school for Gifted students Hanoi National University of Education Applied Analysis Research Group Faculty of Mathematics and StatisticsTon Duc Thang University

This paper deals with a general class of weighted multilinear hardy-Cesaro op- erators that acts on the product of Lebesgue spaces and central Morrey spaces. Their sharp bounds are also obtained. In addition, we obtain sufficient and necessary conditions on weight functions so that the commutators of these weighted multilinear hardy-Cesaro oper- ators （with symbols in central BMO spaces） are bounded on the product of central Morrey spaces. These results extends known results on multilinear hardy operators.

关键词： hardy-Ces^ro operators hardy＇s inequality multilinear hardy operator weig-hted hardy-Littlewood averages

DEGENERATE BOUNDARY LAYER sOLUTIONs TO THE GENERALIZED BENJAMIN-BONAMAHONY-BURGERs EQUATION

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Acta Mathematica scientia 2012年第5期32卷 1743-1758页

作者：肖清华陈正争 school of Mathematics and statistics Wuhan University

This paper is concerned with the convergence rates of the global solutions of the generalized Benjamin-Bona-Mahony-Burgers（BBM-Burgers） equation to the corresponding degenerate boundary layer solutions in the half-space.It is shown that the convergence rate is t-（α/4） as t →∞ provided that the initial perturbation lies in H α 1 for α 〈 α（q）：= 3 ＋（2/q）,where q is the degeneracy exponent of the flux function.Our analysis is based on the space-time weighted energy method combined with a hardy type inequality with the best possible constant introduced in [1]

关键词： generalized BBM-Burgers equation degenerate boundary layer solutions convergence rates hardy＇s inequality space-time weighted energy method

GRADIENT EsTIMATEs FOR sOLUTIONs TO QUAsILINEAR ELLIPTIC EQUATIONs WITH CRITICAL sOBOLEV GROWTH AND hardy POTENTIAL

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Acta Mathematica scientia 2017年第1期37卷 58-68页

作者：向长林 Department of Mathematics and statistics University of JyvaskylaP.O.Box 35FI-40014 University of JyvaskylaFinland

This note is a continuation of the work[17].We study the following quasilinear elliptic equations- △pu-μ/｜x｜p ｜u｜p-2 u=Q（x）｜u｜Np/N-p -2u,x∈R N,where 1 〈 p 〈 N,0 ≤ μ 〈（（N-p）/p）p and Q ∈ L∞（RN）.O... 详细信息

关键词： quasilinear elliptic equations hardy＇s inequality gradient estimate