Discrete Morrey spaces and their inclusion properties
Gunawan H.a, Kikianty E.b, Schwanke C.c
a Department of Mathematics, Bandung Institute of Technology, Bandung, 40132, Indonesia
b Department of Mathematics and Applied Mathematics, University of Pretoria, Hatfield, 0028, South Africa
c Unit for BMI, North-West University, Potchefstroom, 2520, South Africa
Abstract
© 2017 WILEY-VCH Verlag GmbH & Co. KGaA, WeinheimWe discuss discrete Morrey spaces and their generalizations, and we prove necessary and sufficient conditions for the inclusion property among these spaces through an estimate for the characteristic sequences.
Author keywords
Indexed keywords
discrete Morrey spaces,inclusion properties
Funding details
[{‘$’: “The work was initiated during the second author’s visit to Department of Mathematics, Bandung Institute of Technology (Math-ITB) in 2014 and completed during the third author’s postdoctoral program at Math-ITB in 2016. The first author is supported by ITB Research and Innovation Program 2016. The second author is supported in part by the National Research Foundation of South Africa (Grant Number 109297) and University of Pretoria’s Research Development Programme. The third author acknowledges partial support from the Claude Leon Foundation and the DST-NRF Centre of Excellence in Mathematical and Statistical Sciences (CoE-MaSS). Opinions expressed and conclusions arrived at are those of the authors and are not necessarily to be attributed to the CoE-MaSS. The authors would like to thank the anonymous referees for their useful comments on the earlier version of this paper.”}, {‘$’: “ITB Research and Innovation Program 2016; National Research Foundation of South Africa, Grant Number 109297; University of Pretoria’s Research Development Programme; Claude Leon Foundation; DST-NRF Centre of Excellence in Mathematical and Statistical Sciences”}]