Journal of Function Spaces

Variable Exponent Function Spaces and their Applications


Publishing date
01 Aug 2021
Status
Closed
Submission deadline
26 Mar 2021

Lead Editor

1Hainan Normal University, Haikou, China

2University of M'Sila, M'sila, Algeria

3Northwest Normal University, Lanzhou, China

4Hunan Normal University, Changsha, China

This issue is now closed for submissions.
More articles will be published in the near future.

Variable Exponent Function Spaces and their Applications

This issue is now closed for submissions.
More articles will be published in the near future.

Description

As a generalisation of constant Lebesgue spaces, variable exponent Lebegue spaces go back many years, and in subsequent decades variable Lebesgue and Sobolev spaces have been systematically investigated. Since then, many variable exponent real function spaces and complex function spaces have appeared, such as Besov spaces, Trieble-Lizorkin spaces, Hardy spaces, Bessel potential spaces, Herz spaces, Morrey spaces, Herz-Morrey spaces, Bergman spaces, and Fock spaces with variable exponents.

For three decades, variable exponent function spaces have been widely applied in differential equations, image processing, and approximation theory, and many variable exponent real function spaces and complex function spaces have appeared. Thus far, the theory of variable exponent function spaces has seriously depended on the boundedness of the Hardy-Littlewood maximal operator. This restricts its applications in differential equations, approximation, and optimisation.

The aim of this Special Issue is to report developments in theory and applications of variable exponent function spaces, in particular, new variable exponent function spaces, the solvability of differential equations in variable exponent function spaces, the boundedness of operators in variable exponent function spaces, and approximations and optimisations in variable exponent function spaces. We also aim to provide a platform for researchers to promote, share, and discuss various problems in this area. We welcome both original research and review articles.

Potential topics include but are not limited to the following:

  • Theory of variable exponent function spaces
  • Differential equations in variable exponent function spaces
  • Operators on variable exponent function spaces
  • Approximations in variable exponent function spaces
  • Optimisation in variable exponent function spaces
  • Variable exponent function spaces of analytic functions

Articles

  • Special Issue
  • - Volume 2021
  • - Article ID 5567628
  • - Research Article

Map Ideal of Type the Domain of -Cesàro Matrix in the Variable Exponent and Its Eigenvalue Distributions

Awad A. Bakery | OM Kalthum S. K. Mohamed
  • Special Issue
  • - Volume 2021
  • - Article ID 6610836
  • - Research Article

Inequalities for a Unified Integral Operator for Strongly -Convex Function and Related Results in Fractional Calculus

Chahn Yong Jung | Ghulam Farid | ... | Soo Hak Shim
  • Special Issue
  • - Volume 2021
  • - Article ID 6653455
  • - Research Article

Some Characterizations of Weighted Holomorphic Function Classes by Univalent Function Classes

A. El-Sayed Ahmed | S. Omran
  • Special Issue
  • - Volume 2021
  • - Article ID 5573959
  • - Research Article

Nonexistence of Global Solutions for Coupled System of Pseudoparabolic Equations with Variable Exponents and Weak Memories

Kh. Zennir | H. Dridi | ... | S. Alkhalaf
  • Special Issue
  • - Volume 2021
  • - Article ID 6615948
  • - Research Article

Novel Refinements via –Polynomial Harmonically –Type Convex Functions and Application in Special Functions

Saad Ihsan Butt | Saima Rashid | ... | Miao-Kun Wang
  • Special Issue
  • - Volume 2020
  • - Article ID 3153297
  • - Research Article

Optimal Portfolio Selection of Mean-Variance Utility with Stochastic Interest Rate

Shuang Li | Shican Liu | ... | Xiangyu Ge
Journal of Function Spaces
 Journal metrics
Acceptance rate28%
Submission to final decision43 days
Acceptance to publication37 days
CiteScore2.600
Impact Factor1.807
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Article of the Year Award: Outstanding research contributions of 2020, as selected by our Chief Editors. Read the winning articles.