Results 21 to 30 of about 296,333 (284)

Interpolation in variable exponent spaces [PDF]

, 2014
In this paper we study both real and complex interpolation in the recently introduced scales of variable exponent Besov and Triebel–Lizorkin spaces.
A Almeida, A Almeida, A Almeida, A Almeida, Alexandre Almeida, E Acerbi, F Li, H Kempka, H Kempka, H Kempka, H Triebel, H Triebel, H Triebel, H-G Leopold, H-G Leopold, H-G Leopold, J Vybíral, J-S Xu, J-S Xu, L Hörmander, ME Taylor, ME Taylor, O Kováčik, P Gurka, P Harjulehto, P Harjulehto, Peter Hästö, R Fortini, R Schneider, T Kopaliani, V Rabinovich, W Orlicz, X-L Fan, Y Chen   +33 more
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Existence of solution to a critical equation with variable exponent [PDF]

, 2012
In this paper we study the existence problem for the $p(x)-$Laplacian operator with a nonlinear critical source. We find a local condition on the exponents ensuring the existence of a nontrivial solution that shows that the Pohozaev obstruction does not ...
Bonder, Julián Fernández, Saintier, Nicolas, Silva, Analía   +2 more
core   +1 more source

Approximation by Zygmund means in variable exponent Lebesque spaces [PDF]

Mathematica Moravica, 2019
In the present work we investigate the approximation of the functions by the Zygmund means in variable exponent Lebesgue spaces. Here the estimate which is obtained depends on sequence of the best approximation in Lebesgue spaces with variable exponent ...
Jafarov Sadulla Z.
doaj  

Stability of eigenvalues for variable exponent problems

, 2015
In the framework of variable exponent Sobolev spaces, we prove that the variational eigenvalues defined by inf sup procedures of Rayleigh ratios for the Luxemburg norms are all stable under uniform convergence of the exponents.Comment: 10 ...
Colasuonno, Francesca, Squassina, Marco
core   +1 more source

Multilinear Fourier multipliers on variable Lebesgue spaces [PDF]

, 2014
In this paper, we study properties of the bilinear multiplier space. We give a necessary condition for a continuous integrable function to be a bilinear multiplier on variable exponent Lebesgue spaces. And we prove the localization theorem of multipliers
Ren, Jineng, Sun, Wenchang
core   +3 more sources

Weighted Variable Exponent Sobolev spaces on metric measure spaces

Moroccan Journal of Pure and Applied Analysis, 2018
In this article we define the weighted variable exponent-Sobolev spaces on arbitrary metric spaces, with finite diameter and equipped with finite, positive Borel regular outer measure.
Hassib Moulay Cherif, Akdim Youssef
doaj   +1 more source

Boundedness of fractional integrals on weighted Herz spaces with variable exponent

Journal of Inequalities and Applications, 2016
Our aim is to prove the boundedness of fractional integral operators on weighted Herz spaces with variable exponent. Our method is based on the theory on Banach function spaces and the Muckenhoupt theory with variable exponent.
Mitsuo Izuki, Takahiro Noi
doaj   +1 more source

Variable exponent Hardy spaces associated with discrete Laplacians on graphs

, 2017
In this paper we develop the theory of variable exponent Hardy spaces associated with discrete Laplacians on infinite graphs. Our Hardy spaces are defined by square integrals, atomic and molecular decompositions.
Almeida, Víctor, Betancor, Jorge J., Castro, Alejandro J., Rodríguez-Mesa, Lourdes   +3 more
core   +1 more source

Fractional Operators in p-adic Variable Exponent Lebesgue Spaces and Application to p-adic Derivative

Journal of Function Spaces, 2021
In this paper, we prove the boundedness of the fractional maximal and the fractional integral operator in the p-adic variable exponent Lebesgue spaces.
Leonardo Fabio Chacón-Cortés, Humberto Rafeiro   +1 more
doaj   +1 more source

Boundedness of an intrinsic square function on grand p-adic Herz-Morrey spaces

AIMS Mathematics, 2023
This research paper focuses on establishing a framework for grand Herz-Morrey spaces defined over the $ p $-adic numbers and their associated $ p $-adic intrinsic square function.
Babar Sultan , Mehvish Sultan, Aziz Khan, Thabet Abdeljawad   +3 more
doaj   +1 more source