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A note on a class of Hardy Rellich type inequalities
... Recently there has been a considerable interest in studying the Hardy-type and Rellich- type inequalities. See, for example, [–]. In [] Caffarelli, Kohn and Nirenberg proved a rather ... See full document
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A Note on Lyapunov-type Inequalities for Class Offractional Differential Equations
... "Lyapunov-type inequalities for a class of fractional differential equations", the authors have established the Lyapunov-type inequality for fractional boundary value problem of order ... See full document
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Hardy type inequalities associated with the Weinstein operator
... classical Hardy spaces we refer the reader to the original work [–]. Hardy spaces on spaces of homogeneous type (see, ...real Hardy spaces on R d ... See full document
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A Note On Hardy-type Inequalities
... [2] G.Bennett, Some elementary inequalities, Quart. J. Math. Oxford Ser. (2), 38 (1987), 401–425. [3] G.Bennett, Some elementary inequalities,II, Quart. J. Math. Oxford Ser. (2), 39 (1988), 385–400. [4] ... See full document
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On a new class of Hardy type inequalities
... The following two sections are dedicated to some applications and analogues of Theo- rem .. Namely, by choosing some standard measure spaces, kernels, and weight func- tions, we get generalizations of one-dimensional ... See full document
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Hardy type inequalities in fractional h discrete calculus
... 29. Bennett, G.: Inequalities complimentary to Hardy. Q. J. Math. Oxford Ser. (2) 49, 395–432 (1998) 30. Gao, P.: A note on Hardy-type inequalities. Proc. Am. Math. Soc. 133, ... See full document
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Hardy Littlewood and Caccioppoli Type Inequalities for Harmonic Tensors
... We should notice that there are three parameters in the definition of the Aα, β, γ; E- weights. If we choose some special values for these parameters, we may obtain some existing weighted classes. For example, it is easy ... See full document
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On Weighted Remainder Form of Hardy-Type Inequalities
... We note that inequality (6.12) is reversed when α ≤ −1 and we also have 1 −α ≤ 2 −α when α ≤ −1 and it follows from Corollary 6.1 that this gives another proof of the case r ≤ −1, 0 < p < 1 of inequality ... See full document
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Hardy-Type Inequalities via Auxiliary Sequences
... 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
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Some Weighted Hardy Type Inequalities on Anisotropic Heisenberg Groups
... 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
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WEIGHTED HARDY AND POLYA–KNOPP INEQUALITIES WITH VARIABLE LIMITS
... 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
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Boundedness and compactness of a class of Hardy type operators
... 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, ... See full document
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Hardy type inequalities on the sphere
... obtained Hardy, Rellich and Sobolev inequalities in homogeneous ...improved Hardy inequalities and an improved Rellich inequality in hyperbolic ... See full document
8
Strengthened Hardy-type inequalities
... 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
8
Estimates of the modular type operator norm of the general geometric mean operator
... In this paper, the modular-type operator norm of the general geometric mean operator over spherical cones is investigated. We give two applications of a new limit process, introduced by the present authors, to the ... See full document
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Some multi-dimensional Hardy type integral inequalities
... Moreover, it was recently discovered by A. Wedestig in her PhD thesis [8] (see also [9]) that if the weight on the right hand is of product type, then, in fact, (1.2) can be characterized by just one condition ... See full document
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Weighted weak type inequalities for generalized Hardy operators
... 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
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New applications of Schrödinger type inequalities in the Schrödingerean Hardy space
... 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
8
Hardy type inequalities in \(L^{p}\) with sharp remainders
... 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
7
Hardy type inequalities for integral transforms associated with Jacobi operator
... 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
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