Results 51 to 60 of about 2,707 (136)
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
doaj +1 more source
Ascent and Descent of Composition Operators on Orlicz-lorentz space [PDF]
arXiv, 2023 The aim of this paper is to discuss the characterizations of the composition operators on Orlicz-Lorentz space to have finite ascent (or descent).
arxiv
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
semanticscholar +1 more source
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
wiley +1 more source
On the uniform convexity of L^p [PDF]
Proc. Amer. Math. Soc. 134 (2006), 2359-2362, 2005 We present a short, direct proof of the uniform convexity of L^p spaces for 1
arxiv +1 more source
Linear functions and duality on the infinite polytorus
, 2019 We consider the following question: Are there exponents ...
Brevig, Ole Fredrik
core +1 more source
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
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
semanticscholar +1 more source
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
wiley +1 more source
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
doaj +1 more source