Journal of Function Spaces

Function Spaces, Hardy-Type Inequalities, and their Applications


Publishing date
01 May 2022
Status
Published
Submission deadline
07 Jan 2022

Lead Editor
Guest Editors

1University of M'Sila, M'Sila, Algeria

2Guilin University of Electronic Technology, Guilin, China

3Hunan Normal University, Changsha, China


Function Spaces, Hardy-Type Inequalities, and their Applications

Description

Function spaces are a central topic in mathematical analysis and in various other branches of mathematics. Some examples of function spaces include Lebesgue spaces, Herz spaces, sequence spaces, Lorentz spaces, Wiener amalgam spaces, Sobolev spaces, Orlicz spaces, Morrey spaces, Hölder-Zygmund spaces, Hardy spaces, Besov spaces, and Triebel-Lizorkin spaces.

The motivation for the increasing interest in function spaces is not only for theoretical purposes, but also because of their applications in a variety of fields, across harmonic analysis, physical sciences, and engineering. In particular, the concept of function spaces allows us to study, in a much wider perspective, partial differential equations (PDEs), boundary value problems, the boundedness of Hardy-Littlewood maximal functions, singular integral operators, pseudo-differential operators, and commutators. In order to deal with such problems, especially in PDEs, Hardy-type mathematical inequalities play a significant role, as in PDEs they are used to obtain a priori estimates and regularity results. They are also used in real interpolation theory, spectral theory, and geometric estimates.

The aim of this Special Issue is to present recent original research as well as review articles on the theory of function spaces, such as equivalent norms, embeddings, interpolation, and traces, as well as discrete, integral, and differential operators in function spaces and their applications in nonlinear partial differential equations. We encourage cooperation between researchers working in the theory of function spaces and applied mathematics.

Potential topics include but are not limited to the following:

  • New perspectives in real/analytic function spaces
  • Interpolation of function spaces
  • Boundedness of sublinear operators on function spaces
  • Interpolation inequalities and their applications
  • Integral operators of Hardy type
  • Weighted integral and discrete inequalities
  • Nonlinear partial differential equations in function spaces

Articles

  • Special Issue
  • - Volume 2022
  • - Article ID 6467750
  • - Research Article

On Stević-Sharma Operators from General Class of Analytic Function Spaces into Zygmund-Type Spaces

M. A. Bakhit | A. Kamal
  • Special Issue
  • - Volume 2022
  • - Article ID 2175463
  • - Research Article

A Reverse Hardy-Hilbert’s Inequality Involving One Partial Sum as the Terms of Double Series

Bicheng Yang | Shanhe Wu | Xingshou Huang
  • Special Issue
  • - Volume 2022
  • - Article ID 4845507
  • - Research Article

Boundedness of Multilinear Calderón-Zygmund Operators on Grand Variable Herz Spaces

Hammad Nafis | Humberto Rafeiro | Muhammad Asad Zaighum
  • Special Issue
  • - Volume 2022
  • - Article ID 1257963
  • - Research Article

A Capacity Associated with the Weighted Lebesgue Space and Its Applications

Guoliang Li | Guanglan Wang | Lei Zhang
  • Special Issue
  • - Volume 2022
  • - Article ID 2621595
  • - Research Article

Some Uniqueness Results of the Solutions for Two Kinds of Riccati Equations with Variable Fractional Derivative

Shi-you Lin | Li-sha Chen | Bo-yang Li
  • Special Issue
  • - Volume 2021
  • - Article ID 1142942
  • - Research Article

Boundedness of Fractional Integral Operators on Hardy-Amalgam Spaces

Ka Luen Cheung | Kwok-Pun Ho | Tat-Leung Yee
  • Special Issue
  • - Volume 2021
  • - Article ID 6123154
  • - Research Article

A New Approach to Fuzzy Differential Equations Using Weakly-Compatible Self-Mappings in Fuzzy Metric Spaces

Iqra Shamas | Saif Ur Rehman | ... | Mabrook Al-Rakhami
  • Special Issue
  • - Volume 2021
  • - Article ID 3096701
  • - Research Article

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

Leonardo Fabio Chacón-Cortés | Humberto Rafeiro
Journal of Function Spaces
 Journal metrics
See full report
Acceptance rate10%
Submission to final decision130 days
Acceptance to publication20 days
CiteScore2.600
Journal Citation Indicator1.430
Impact Factor1.9
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