[PDF] Top 20 Hardy type inequalities on the sphere

... J: Hardy and Rellich type inequalities on metric measure ...de Hardy sur les variétés Riemanniennes ...G: Hardy and Rellich-type inequalities for metrics defined by vector ... See full document

... Conditions (2.1) and (2.2) are satisfied, for instance, by a power function of n variables. In this Section we obtain new necessary and sufficient conditions for the validity of (1.2) in the case 1 < p q < ∞ and ... See full document

... Gogatishvili and Lang [3] characterized the pairs of weights for the strong- and weak- type ( p, q) inequalities for the operator T in the case p ≤ q. Actually, in [3] the au- thors deal with Banach ... See full document

... Integral inequalities have always been of great importance for the development of many branches of mathematics and its ...is Hardy-type inequalities, which from the first discoveries of ... See full document

... The purpose of this paper is to prove the new versions of the weighted Hardy-Littlewood and Caccioppoli-type inequalities for the A-harmonic tensors. Our results may have applications in different ... See full document

... the Hardy inequalities which is based on the viewpoint of the equality leads to a direct and explicit understanding of the Hardy type inequalities as well as of the nonexistence of ... See full document

... Hardy operator Tϕ and its dual Tϕ∗ when the function ϕ is nonincreasing on ]0,1[ In this section, we consider a measurable positive and nonincreasing function ϕ defined on ]0,1[ for whic[r] ... See full document

... In this paper we prove that the condition (1.3) is not unique for characterizing (1.2). More exactly, inspired by results in [5] we will prove that there is a whole scale of conditions for characterizing (1.2) (see ... See full document

... Schrödinger type inequalities obtained by Jiang ...Schrödingerean Hardy space, we not only obtain the representation of Schrödingerean harmonic functions but also give a sufficient and necessary ... See full document

... The main objective of this paper is a study of some new generalizations of Hilbert’s and Hardy- Hilbert’s type inequalities. We apply our general results to homogeneous functions. We shall obtain, in ... See full document

... weighted Hardy type inequalities associated with a class of nonisotropic Greiner- type vector fields on anisotropic Heisenberg ...new Hardy type inequalities on ... See full document

... In , Godunova [] discovered that inequality (.) can be proved via convexity ar- gument, but this result was not well known in western literature. The use of convexity argument to prove Hardy-type ... See full document

... the Hardy function (see [] and Remark ), and that the interpolating quasi- polynomial can be expressed by the generalized Vandermonde determinant (see [, ]), the Hardy function and the generalized ... See full document

... For our results, some recent results of Hardy type and other interesting inequalities of integer order of integration can be deduced as some special cases.. Keywords: Integral inequaliti[r] ... See full document

... We establish characterizations of both boundedness and of compactness of a general class of fractional integral operators involving the Riemann-Liouville, Hadamard, and Erdelyi-Kober operators. In particular, these ... See full document

... In this section, we first give a heuristic approach towards establishing inequality (1.4). This approach will provide motivation and serve as a guideline for our proof of Theorem 1.1 later. In fact, the approach we ... See full document

... a Hardy-type inequality to the class of arbitrary non-negative functions bounded from below and above with a convex function multiplied with positive real ...integral Hardy, Hardy-Hilbert, ... See full document

... Theorem 1.1. Inequality (1.3) holds for p ≥ 2, 1 ≤ α ≤ 1 + 1/p or 1 < p ≤ 4/3, 1 + 1/p ≤ α ≤ 2. We shall leave the explanation of Knopp’s approach in detail in Section 2 by pointing out here that it can be applied to ... See full document

... Yang, Q: Hardy type inequalities related to Carnot-Carathéodory distance on the Heisenberg group.. D’Ambrosio, L: Some Hardy inequalities on the Heisenberg group.[r] ... See full document

... to Hardy-type inequalities and to some modifications and consequences contained in [11, ...those inequalities hold on some classes of functions and to some new extension, generalization to ... See full document