A Hardy inequality and applications to reverse Hölder inequalities for weights on $\mathbb{R}$
نویسندگان
چکیده
منابع مشابه
Reverse Hölder Inequalities and Approximation Spaces
We develop a simple geometry free context where one can formulate and prove general forms of Gehring's Lemma. We show how our result follows from a general inverse type reiteration theorem for approximation spaces. 2001 Academic Press
متن کاملA Reverse Hardy-hilbert-type Integral Inequality
By estimating a weight function, a reverse Hardy-Hilbert-type integral inequality with a best constant factor is obtained. As an application, some equivalent forms and some particular results have been established.
متن کاملFour Inequalities Similar to Hardy-hilbert’s Integral Inequality
Four new different types of inequalities similar to Hardy-Hilbert’s inequality are given.
متن کاملA new restructured Hardy-Littlewood's inequality
In this paper, we reconstruct the Hardy-Littlewood’s inequality byusing the method of the weight coefficient and the technic of real analysis includinga best constant factor. An open problem is raised.
متن کاملExtended Hardy-littlewood Inequalities and Some Applications
We establish conditions under which the extended Hardy-Littlewood inequality ∫ RN H ( |x|, u1(x), . . . , um(x) ) dx ≤ ∫ RN H ( |x|, u1(x), . . . , um(x) ) dx, where each ui is non-negative and u ∗ i denotes its Schwarz symmetrization, holds. We also determine appropriate monotonicity assumptions on H such that equality occurs in the above inequality if and only if each ui is Schwarz symmetric....
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of the Mathematical Society of Japan
سال: 2018
ISSN: 0025-5645
DOI: 10.2969/jmsj/07017323