Hardy type inequalities
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 ...
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On Weighted Remainder Form of Hardy-Type Inequalities
... 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 ...
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Some new sharp limit Hardy type inequalities via convexity
... In Section of this paper, we prove a refined version of Proposition A, where all in- volved constants are sharp (see Theorem . which, in particular, shows that the constant C = α – in Proposition A is sharp in both ...
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Some new iterated Hardy type inequalities: the case θ=1
... many inequalities for classical operators can be reduced to this ...weighted Hardy-type inequalities restricted to the cone of monotone functions (see Theorems ...
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Hardy type inequalities within fractional derivatives without singular kernel
... The organization of this paper is given below. In Sect. 1, we given introduction. In Sect. 2, basic definitions and theorems are introduced. Motivated by [12, 26, 36] several Hardy- type inequalities ...
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Time scale Hardy type inequalities with ‘broken’ exponent p
... concerning Hardy-type in- equalities was proved by Oguntuase et ...obtaining Hardy-type inequalities, we refer interested readers to the review article by Oguntuase and Persson [] and ...
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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 ...
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Hardy type inequalities in \(L^{p}\) with sharp remainders
... The subsequent sections are organized as follows. Proposition will be proved in Sec- tion . Section is devoted to the verification of Theorem . The proof of Theorem is given in Section . There is a large ...
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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, 1977–1984 ...
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Hardy type inequalities associated with the Weinstein operator
... the Hardy spaces associated with the Weinstein ...Sobolev inequalities between the homogeneous Weinstein-Besov spaces and many spaces, as the homogeneous Weinstein-Riesz spaces and the generalized Lorentz ...
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On a new class of Hardy type inequalities
... On the other hand, applying a different approach, Oguntuase et al. [] obtained a class of multidimensional strengthened Hardy-type inequalities with power weights, related to arbitrary a.e. positive ...
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Hardy type inequalities on a half space in the Heisenberg group
... 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] ...
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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] ...
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Weighted Hardy type inequalities for supremum operators on the cones of monotone functions
... are very well studied. See e.g. the books [, ] and [] and the references therein. We also mention the following examples of articles in this area: [–] and []. Recently, it has been discovered that it is of great ...
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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 ...
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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] ...
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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 ...
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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, these ...
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On Some Integral Inequalities of Hardy Type Operators
... This inequality can be found in many standard books (see [2-7]). Inequality (1) has found much interest from a number of researchers and there are numerous new proofs, as well as, extensions, refinements and variants ...
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\(L^{p}\) Hardy type inequality in the half space on the H type group
... Abstract In the current work we studied Hardy type and Lp Hardy type inequalities in the half-space on the H-type group, where the Hardy inequality in the upper half-space Rn+ was proved[r] ...
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