Abstract and Applied Analysis
Volume 2015 (2015), Article ID 531282, 1 page
http://dx.doi.org/10.1155/2015/531282

Editorial

Function Spaces and Applications

Henryk Hudzik,¹ Vakhtang M. Kokilashvili,² Baoxiang Wang,³ and Marek Wisła¹

¹Faculty of Mathematics and Computer Science, Adam Mickiewicz University in Poznań, Umultowska 87, 61-614 Poznań, Poland
²Andrea Razmadze Mathematical Institute, Tamarashvili 6, 0177 Tbilisi, Georgia
³LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, China

Received 3 July 2014; Accepted 3 July 2014

Copyright © 2015 Henryk Hudzik et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Function spaces and its various applications are subjects of investigation in many research centers and we are glad that this special issue has received the remarkable attention by researchers in these areas.

We have received papers from wide range of topics of function spaces such as interpolation methods for stochastic processes spaces, vector optimization problems in Banach spaces, Marcinkiewicz integral operator in Morrey spaces, Hardy’s operator in the variable exponent Lebesgue spaces, and differential equations of weakly parabolic type in Banach spaces.

A number of papers are devoted to investigating different kinds of problems in Hardy spaces or Hardy subspaces, for example, Calderon-Zygumnd singular integral operators in Hardy spaces, weighted Hardy spaces related to the Schrödinger operator, and composition operator in hyperbolic Bloch-type spaces.

Geometric problems such as modulus of convexity in some Banach sequence spaces, -uniform convexity, and -uniform smoothness in spaces are also covered by this issue.

Acknowledgment

The editors thank all the contributors and colleagues who were prompt for referee work.

Henryk Hudzik
Vakhtang M. Kokilashvili
Baoxiang Wang
Marek Wisła