Let 1 < p q < 1: Inspired by some recent results concerning Hardy type inequalities where the equivalence of four scales of integral conditions is proved, we use related ideas to prove some new compactness results for the Hardy operator, and we give the corresponding scales for the Polya-Knopp inequality.Validerad; 2006; 20070111 (evan
AbstractWe prove that for a decreasing weight w, the following inequality is sharp:∫0∞(f⁎⁎(t)−f⁎(t))...
We consider the weighted Hardy inequality (∫0 ∞ (∫0 x f(t)dt)q u(x)dx)1/q ≤ C(∫0 ∞ f p(x)v(x)dx)1/p ...
In this paper, we prove some new integral inequalities of Hardy’s type on time scales. The Hardy ine...
Let 1 < p q < 1: Inspired by some recent results concerning Hardy type inequalities where the equiva...
This Ph.D. thesis deals with various generalizations of the inequalities by Carleman, Hardy and Poly...
This thesis deals with various generalizations of two famous inequalities namely the Hardy inequalit...
This thesis consists of an introduction and three papers, which deal with some new discrete Hardy ty...
The paper studies quasilinear elliptic problems in the Sobolev spaces W 1,p (Ω), Ω⊂R...
We study when multiplication by a weight can turn a non-compact composition operator on H 2 into a c...
The purpose of this paper is to build a new Hardy-Littlewood-Polya inequality with some parameters. ...
We establish criteria for both boundedness and compactness for some classes of integral operators wi...
A recently discovered Hardy-Pólya type inequality described by a convex function is considered and f...
Characterizations of compactness are given for holomorphic composition operators on Hardy spaces of ...
AbstractWe prove that for a decreasing weight w, the following inequality is sharp:∫0∞(f⁎⁎(t)−f⁎(t))...
We consider the weighted Hardy inequality (∫0 ∞ (∫0 x f(t)dt)q u(x)dx)1/q ≤ C(∫0 ∞ f p(x)v(x)dx)1/p ...
In this paper, we prove some new integral inequalities of Hardy’s type on time scales. The Hardy ine...
Let 1 < p q < 1: Inspired by some recent results concerning Hardy type inequalities where the equiva...
This Ph.D. thesis deals with various generalizations of the inequalities by Carleman, Hardy and Poly...
This thesis deals with various generalizations of two famous inequalities namely the Hardy inequalit...
This thesis consists of an introduction and three papers, which deal with some new discrete Hardy ty...
The paper studies quasilinear elliptic problems in the Sobolev spaces W 1,p (Ω), Ω⊂R...
We study when multiplication by a weight can turn a non-compact composition operator on H 2 into a c...
The purpose of this paper is to build a new Hardy-Littlewood-Polya inequality with some parameters. ...
We establish criteria for both boundedness and compactness for some classes of integral operators wi...
A recently discovered Hardy-Pólya type inequality described by a convex function is considered and f...
Characterizations of compactness are given for holomorphic composition operators on Hardy spaces of ...
AbstractWe prove that for a decreasing weight w, the following inequality is sharp:∫0∞(f⁎⁎(t)−f⁎(t))...
We consider the weighted Hardy inequality (∫0 ∞ (∫0 x f(t)dt)q u(x)dx)1/q ≤ C(∫0 ∞ f p(x)v(x)dx)1/p ...
In this paper, we prove some new integral inequalities of Hardy’s type on time scales. The Hardy ine...