PreprintCC BY 4.0arXiv
Calderón's complex interpolations of variable-exponent Fofana spaces
Abstract
Fofana spaces, introduced in the framework of Wiener amalgam spaces, can be viewed as generalizations of Morrey spaces. These spaces have attracted considerable attention in recent years and have found applications in the study of partial differential equations. In this paper, we investigate their variable-exponent counterparts. More specifically, we describe Calderón's, first and second, complex interpolations of Fofana spaces with variable exponent, as well as the corresponding interpolation spaces of their preduals. Our results recover, as special cases, those already known for (classical) Fofana and Morrey spaces.
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BibTeX
@misc{diarra2026calderóns,
title = {{Calderón's complex interpolations of variable-exponent Fofana spaces}},
author = {Nouffou Diarra and Pokou Nagacy and Sekou Coulibaly},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.05628},
eprint = {2611.05628},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.05628},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Calderón's complex interpolations of variable-exponent Fofana spaces
AU - Nouffou Diarra
AU - Pokou Nagacy
AU - Sekou Coulibaly
PY - 2026
DA - 2026/11/03
PB - arXiv
DO - 10.48550/arxiv.2611.05628
UR - https://arxiv.org/abs/2611.05628
AB - Fofana spaces, introduced in the framework of Wiener amalgam spaces, can be viewed as generalizations of Morrey spaces. These spaces have attracted considerable attention in recent years and have found applications in the study of partial differential equations. In this paper, we investigate their variable-exponent counterparts. More specifically, we describe Calderón's, first and second, complex interpolations of Fofana spaces with variable exponent, as well as the corresponding interpolation spaces of their preduals. Our results recover, as special cases, those already known for (classical) Fofana and Morrey spaces.
ER -