Results 41 to 50 of about 27,424 (219)

The Daugavet property in the Musielak-Orlicz spaces

, 2014
We show that among all Musielak-Orlicz function spaces on a $\sigma$-finite non-atomic complete measure space equipped with either the Luxemburg norm or the Orlicz norm the only spaces with the Daugavet property are $L_1$, $L_{\infty}$, $L_1\oplus_1 L_ ...
Kamińska, Anna, Kubiak, Damian
core   +1 more source

Parseval–Goldstein-Type Theorems for Lebedev–Skalskaya Transforms

Axioms
This paper investigates Parseval–Goldstein-type relationships in the framework of Lebedev–Skalskaya transforms. The research also examines the continuity properties of these transforms, along with their adjoint counterparts over weighted Lebesgue spaces.
Emilio Ramón Negrín, Benito Juan González, Jeetendrasingh Maan   +2 more
doaj   +1 more source

A Note on Noneffective Weights in Variable Lebesgue Spaces [PDF]

Journal of Function Spaces and Applications, 2012
We study noneffective weights in the framework of variable exponent Lebesgue spaces, and we show thatLp(⋅)(Ω)=Lωp(⋅)(Ω)if and only ifω(x)1/p(x)~constantin the set wherep(⋅)<∞, andω(x)~constantin the set wherep(⋅)=∞.
FIORENZA, ALBERTO, M. Krbec
openaire   +4 more sources

A note on linear compositions of the Mellin convolution operators in the weighted Mellin-Lebesgue spaces

Demonstratio Mathematica
In this article, we express a numerical form of the convergence using the suitable modulus of smoothness for linear compositions of the Mellin convolution operators.
Ozsarac Firat
doaj   +1 more source

The $\ell^s$-boundedness of a family of integral operators on UMD Banach function spaces

, 2018
We prove the $\ell^s$-boundedness of a family of integral operators with an operator-valued kernel on UMD Banach function spaces. This generalizes and simplifies earlier work by Gallarati, Veraar and the author, where the $\ell^s$-boundedness of this ...
A Amenta, AP Calderón, C Gallarati, C Gallarati, C Gallarati, C. Bennett, D Cruz-Uribe, GP Curbera, H Amann, J Bourgain, J García-Cuerva, J Prüss, J Prüss, JL Rubio de Francia, JMAM Neerven van, JMAM Neerven van, K Moen, L Weis, Loukas Grafakos, M Köhne, M Meyries, Nick Lindemulder, P Clément, Philippe Clément, S Kwapień, TS Hänninen, Tuomas Hytönen, Tuomas Hytönen   +27 more
core   +1 more source

Best trigonometric approximation and modulus of smoothness of functions in weighted grand Lebesgue spaces

Қарағанды университетінің хабаршысы. Математика сериясы, 2019
In this work, first of all, Lpw),Ө (T) weighted grand Lebesgue spaces and Muckenhoupt weights is defined. The information about properties of these spaces is given. Let Tn be the trigonometric polynomial of best approximation.
Sadulla Z. Jafarov
doaj  

Weighted modular inequalities for monotone functions

Journal of Inequalities and Applications, 1997
Weight characterizations of weighted modular inequalities for operators on the cone of monotone functions are given in terms of composition operators on arbitrary non-negative functions with changes in weights. The results extend to modular inequalities,
A. Kufner, H. P. Heinig, P. Drábek   +2 more
doaj   +2 more sources

Two-Weight, Weak-Type Norm Inequalities for Fractional Integral Operators and Commutators on Weighted Morrey and Amalgam Spaces

Abstract and Applied Analysis, 2020
Let ...
Hua Wang
doaj   +1 more source

On the Forelli-Rudin projection theorem [PDF]

, 2015
Motivated by the Forelli--Rudin projection theorem we give in this paper a criterion for boundedness of an integral operator on weighted Lebesgue spaces in the interval $(0,1)$. We also calculate the precise norm of this integral operator.
Markovic, Marijan
core  

Embeddings of local generalized Morrey spaces between weighted Lebesgue spaces [PDF]

Nonlinear Analysis, 2017
Let \(p\in (0,\infty)\). Given a weight \(w\) (i.e., a positive measurable function) on \(\mathbb R^n\), denote by \(L^p(\mathbb R^n, w)\) the weighted Lebesgue space and equip it with the (quasi)norm \[ \|f\|_{L^p(\mathbb R^n, w)}:=\Big(\int_{\mathbb R^n}|f(x)|^p w(x)\,dx\Big)^{1/p}. \] If \(\varphi\) is a positive measurable function on \((0,\infty)\)
Almeida, Alexandre, Samko, Stefan
openaire   +4 more sources