Acta mathematica scientia, Series B >
AN EXTENSION OF THE HARDY-LITTLEWOOD-PÓLYA INEQUALITY
Received date: 2011-09-27
Online published: 2011-11-20
Supported by
Research supported by the NSF grants DMS-0908097 and EAR-0934647.
Congming Li , John Villavert . AN EXTENSION OF THE HARDY-LITTLEWOOD-PÓLYA INEQUALITY[J]. Acta mathematica scientia, Series B, 2011 , 31(6) : 2285 -2288 . DOI: 10.1016/S0252-9602(11)60400-1
[1] Hardy G H, Littlewood J E. P´olya G. Inequalities, Volume 2. Cambridge University Press, 1952
[2] Ding X. Private Communication
[3] Stein E B, Weiss G. Fractional integrals in n-dimensional Euclidean space. J Math Mech, 1958, 7(4): 503–513
[4] Hardy G H, Littlewood J E, P´olya G. The maximum of a certain bilinear form. Proc London Math Soc, 1926, 25(2): 265–282
[5] Stein E B,Weiss G. Introduction to Fourier Analysis on Euclidean Spaces. Princeton: Princeton University Press, 1971
[6] Lieb E. Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities. Ann Math, 1983, 118: 349–374
[7] Chen W, Li C. Classification solutions of some nonlinear elliptic equations. Duke Math J, 1991, 63: 615–622
[8] Li C, Chen W, Ou B. Classification of solutions for an integral equation. Comm Pure and Appl Math, 2006, 59: 330–343
[9] Chen W, Li C. The best constant in some weighted Hardy-Littlewood-Sobolev inequality. Proc Amer Math Soc, 2008, 136: 955–962
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