Extensions of Hardy inequality
نویسندگان
چکیده
منابع مشابه
Some new extensions of Hardy`s inequality
In this study, by a non-negative homogeneous kernel k we prove some extensions of Hardy's inequalityin two and three dimensions
متن کاملExtensions of Hardy Inequality
for every u∈W1,p(Rn). It is easy to see that the proposition fails when s > 1, where s = q/p. In this paper we are trying to find out what happens if s > 1. We show that it does not only become true but obtains better estimates. The described result is stated and proved in Section 3. The method invoked is different from that by Cazenave in [2]; it relies on some Littlewood-Paley theory and Beso...
متن کاملsome new extensions of hardy`s inequality
in this study, by a non-negative homogeneous kernel k we prove some extensions of hardy's inequalityin two and three dimensions
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This paper deals with some extensions of Hardy-Hilbert’s inequality with the best constant factors by introducing two parameters λ and α and using the Beta function. The equivalent form and some reversions are considered.
متن کاملOn Some Extensions of Hardy-Hilbert’s Inequality and Applications
Laith Emil Azar Department of Mathematics, Al Al-Bayt University, P.O. Box. 130095, Mafraq 25113, Jordan Correspondence should be addressed to Laith Emil Azar, azar [email protected] Received 23 October 2007; Accepted 2 January 2008 Recommended by Shusen Ding By introducing some parameters we establish an extension of Hardy-Hilbert’s integral inequality and the corresponding inequality for series...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2002
ISSN: 0022-247X
DOI: 10.1016/s0022-247x(02)00232-9