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The Stability of Weighted Lebesgue Spaces [PDF]

open access: yesTransactions of the American Mathematical Society, 1959
0. Introduction and summary. The original and principal problem studied in this paper is that of finding conditions to be satisfied by a positive "weight function" w on a locally compact group in order that the set of functions f such that f Pw is integrable (relative to left Haar measure) shall be stable under left (or right) translations.
openaire   +2 more sources

On Variable Exponent Amalgam Spaces

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012
We derive some of the basic properties of weighted variable exponent Lebesgue spaces Lp(.)w (ℝn) and investigate embeddings of these spaces under some conditions.
Aydin İsmail
doaj   +1 more source

On Some Properties of Integral-Type Operator in Weighted Herz Spaces with Variable Exponent Lebesgue Spaces

open access: yesUniversal Journal of Mathematics and Applications, 2019
For the last quarter century a considerable number of research has been carried out on the study of Herz spaces, variable exponent Lebesgue  spaces and Sobolev spaces.
Lütfi Akın
doaj   +1 more source

Weighted Ricci curvature estimates for Hilbert and Funk geometries [PDF]

open access: yes, 2012
We consider Hilbert and Funk geometries on a strongly convex domain in the Euclidean space. We show that, with respect to the Lebesgue measure on the domain, Hilbert (resp. Funk) metric has the bounded (resp.
Ohta, Shin-ichi
core   +3 more sources

Compact bilinear commutators: the weighted case [PDF]

open access: yes, 2015
Commutators of bilinear Calderón-Zygmund operators and multiplication by functions in a certain subspace of the space of functions of bounded mean oscillation are shown to be compact on appropriate products of weighted Lebesgue spaces.Simons ...
Benyi, Arpad   +3 more
core   +1 more source

Embeddings between weighted local Morrey-type spaces and weighted Lebesgue spaces [PDF]

open access: yesJournal of Mathematical Inequalities, 2015
In this paper, the embeddings between weighted local Morrey-type spaces and weighted Lebesgue spaces are investigated.
Mustafayev, R. Ch., Unver, T.
openaire   +3 more sources

BMO Functions Generated by AXℝn Weights on Ball Banach Function Spaces

open access: yesJournal of Function Spaces, 2021
Let X be a ball Banach function space on ℝn. We introduce the class of weights AXℝn. Assuming that the Hardy-Littlewood maximal function M is bounded on X and X′, we obtain that BMOℝn=αlnω:α≥0,ω∈AXℝn.
Ruimin Wu, Songbai Wang
doaj   +1 more source

Boundedness for Parametrized Littlewood-Paley Operators with Rough Kernels on Weighted Weak Hardy Spaces

open access: yesAbstract and Applied Analysis, 2013
The authors prove that the parametrized area integral and function are bounded from the weighted weak Hardy space to the weighted weak Lebesgue space as satisfies a class of the integral Dini condition, respectively.
Ximei Wei, Shuangping Tao
doaj   +1 more source

Invariant weighted Wiener measures and almost sure global well-posedness for the periodic derivative NLS [PDF]

open access: yes, 2010
In this paper we construct an invariant weighted Wiener measure associated to the periodic derivative nonlinear Schr\"odinger equation in one dimension and establish global well-posedness for data living in its support.
Nahmod, Andrea   +3 more
core   +3 more sources

The Laguerre transform of a convolution product of vector-valued functions.

open access: yesМатематичні Студії, 2021
The Laguerre transform is applied to the convolution product of functions of a real argument (over the time axis) with values in Hilbert spaces.
A. O. Muzychuk
doaj   +1 more source

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