Results 61 to 70 of about 2,764 (144)
New characterizations of some Lp‐spaces
International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 7, Page 487-492, 2000., 2000 For a complete measure space (X, ∑, μ), we give conditions which force Lp(X, μ), for 1 ≤ p < ∞, to be isometrically isomorphic to ℓp(Γ) for some index set Γ which depends only on (X, μ). Also, we give some new characterizations which yield the inclusion Lp(X, μ) ⊂ Lq(X, μ) for 0 < p < q.
Russell S. Jenkins, Ramesh V. Garimella
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The spectrum generated by s-numbers and pre-quasi normed Orlicz-Cesáro mean sequence spaces
Open Mathematics, 2020 In this article, we study some topological properties of the multiplication operator on Orlicz-Cesáro mean sequence spaces equipped with the pre-quasi norm and the pre-quasi operator ideal constructed by this sequence space and s-numbers.
Bakery Awad A.
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On generalized Lorentz-Zygmund spaces
, 1999 WestudygeneralizedLorentz–Zygmund spaceswith broken logarithmic functions. We derive necessary and sufficient conditions for embeddings between them. We give a complete characterization of their associate spaces.
B. Opic, L. Pick
semanticscholar +1 more source
Optimal L^p Hardy-Rellich type inequalities on the sphere
, 2020 In this paper we study some Lp -Hardy-Rellich type inequalities and the corresponding optimal constant on the geodesic sphere. By the divergence theorem, properties of radial Laplacian and geodesic distance, we obtain an improved version of Hardy-Rellich
Abimbola Ayodeji Abolarinwa, K. Rauf
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Norm attaining bilinear forms on L1(μ)
International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 12, Page 833-837, 2000., 2000 Given a finite measure μ, we show that the set of norm attaining bilinear forms is dense in the space of all continuous bilinear forms on L1(μ) if and only if μ is purely atomic.
Yousef Saleh
wiley +1 more source
Zygmund inequality of the conjugate function on Morrey-Zygmund spaces
Demonstratio Mathematica, 2019 We generalize the Zygmund inequality for the conjugate function to the Morrey type spaces defined on the unit circle T. We obtain this extended Zygmund inequality by introducing the Morrey-Zygmund space on T.
Yee Tat-Leung, Ho Kwok-Pun
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L‐correspondences: the inclusion Lp(μ, X) ⊂ Lq(ν, Y)
International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 4, Page 723-726, 1996., 1995 In order to study inclusions of the type Lp(μ, X) ⊂ Lq(ν, Y), we introduce the notion of an L‐correspondence. After proving some basic theorems, we give characterizations of some types of L‐correspondences and offer a conjecture that is similar to an equimeasurability theorem.
C. Bryan Dawson
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The Lusin Theorem and Horizontal Graphs in the Heisenberg Group
Analysis and Geometry in Metric Spaces, 2013 In this paper we prove that every collection of measurable functions fα , |α| = m, coincides a.e. withmth order derivatives of a function g ∈ Cm−1 whose derivatives of order m − 1 may have any modulus of continuity weaker than that of a Lipschitz ...
Hajłasz Piotr, Mirra Jacob
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Weighted weak-type inequalities for square functions
, 2020 The paper is devoted to weighted weak-type inequalities for square functions of continuous-path martingales and identifies the optimal dependence of the weak norm on the characteristic of the weight.
A. Osȩkowski
semanticscholar +1 more source
On the compactness and the essential norm of operators defined by infinite tridiagonal matrices
Concrete Operators, 2023 In this article, all sequences u{\boldsymbol{u}}, v{\boldsymbol{v}}, and w{\boldsymbol{w}} that define continuous and compact tridiagonal operators Tu,v,w{T}_{u,v,w} acting on the weighted sequence space lβ2{l}_{\beta }^{2} were characterized ...
Caicedo Alexander +2 more
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