Results 41 to 50 of about 303 (54)
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
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Multivariate Analogue of Slant Toeplitz Operators
Hacettepe Journal of Mathematics and Statistics, 2020 This paper discusses several structural and fundamental properties of the kth-order slant Toeplitz operators on the Lebesgue space of the ntorus Tn, for integers k ≥ 2 and n ≥ 1. We obtain certain equivalent conditions for the commutativity and essential
Gopal Datt, Shesh Kumar Pandey
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Lipschitz measures and vector‐valued Hardy spaces
International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 5, Page 345-356, 2001., 2001 We define certain spaces of Banach‐valued measures called Lipschitz measures. When the Banach space is a dual space X*, these spaces can be identified with the duals of the atomic vector‐valued Hardy spaces HXp(ℝn), 0 < p < 1. We also prove that all these measures have Lipschitz densities.
Magali Folch-Gabayet +2 more
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Hardy-Littlewood-Pólya inequalities and Hausdorff operators on block spaces
, 2016 We establish the Hardy-Littlewood-Pólya inequality, the Hardy inequality and the Hilbert inequality on block spaces. Furthermore, we also have the boundedness of the Hausdorff operators on block spaces.
K. Ho
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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 fractional integral operators on Morrey spaces with variable exponent on unbounded domains
, 2013 The boundedness of fractional integral operator on Morrey spaces with variable exponent on unbounded domains is established. Mathematics subject classification (2010): 42B20, 46E30, 47B38.
K. Ho
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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
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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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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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Inclusions between weighted Orlicz spaces
, 2014 Let Φ be a Young function and w be a weight. The weighted Orlicz space LwΦ is a natural generalization of the weighted Lebesgue space Lwp (1≤p≤∞) and a characterization of an inclusion between weighted Lebesgue spaces is well known.
Alen Osançlıol
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