Results 91 to 100 of about 2,764 (144)

On the Mean Summability by Cesaro (C,a) and Abel-Poisson Methods of Trigonometric Fourier Series in the Weighted Lorentz Spaces [PDF]

open access: yes
In the paper the classical results on the mean convergence and summability of trigonometric Fourier series are extended to the weighted Lorentz spaces.
D.M. Israfilov   +2 more
core   +1 more source

Abstract-valued Orlicz spaces of range-varying type

open access: yesOpen Mathematics, 2018
This paper mainly deals with the abstract-valued Orlicz spaces of range-varying type. Using notions of Banach space net and continuous modular net etc., we give definitions of Lϱθ(⋅)(I, Xθ(⋅)) and L+ϱθ(⋅)$\begin{array}{} L_{+}^{\varrho_{\theta(\cdot)}} \
Zhang Qinghua
doaj   +1 more source

Hausdorff-Young inequality for Orlicz spaces on compact homogeneous manifolds [PDF]

open access: yesarXiv, 2019
We prove the classical Hausdorff-Young inequality for Orlicz spaces on compact homogeneous manifolds.
arxiv  

Embeddings of rearrangement invariant spaces that are not strictly singular

open access: yes, 1999
We give partial answers to the following conjecture: the natural embedding of a rearrangement invariant space E into L_1([0,1]) is strictly singular if and only if G does not embed into E continuously, where G is the closure of the simple functions in ...
Montgomery-Smith, S. J., Semenov, E. M.
core   +1 more source

Bessel potential spaces with variable exponent

open access: yes, 2007
We show that a variable exponent Bessel potential space coincides with the variable exponent Sobolev space if the Hardy-Littlewood maximal operator is bounded on the underlying variable exponent Lebesgue space.
P. Gurka   +2 more
semanticscholar   +1 more source

Pointwise multipliers on weak Orlicz spaces [PDF]

open access: yesarXiv, 2018
We characterize the pointwise multipliers from a weak Orlicz space to another weak Orlicz space.
arxiv  

Inclusions between weighted Orlicz spaces

open access: yes, 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
semanticscholar   +1 more source

Φ-Admissible singular operators and their commutators on vanishing generalized Orlicz-Morrey spaces

open access: yes, 2014
We study the boundedness of Φ-admissible singular operators and their commutators on vanishing generalized Orlicz-Morrey spaces VMΦ,φ(Rn) including their weak versions. These conditions are satisfied by most of the operators in harmonic analysis, such as
V. Guliyev, F. Deringoz, J. Hasanov
semanticscholar   +1 more source

Optimal transport of vector measures. [PDF]

open access: yesCalc Var Partial Differ Equ, 2021
Ciosmak KJ.
europepmc   +1 more source

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