PreprintCC BY 4.0arXiv
Notes on Orlicz Spaces and Interpolation
Abstract
Orlicz spaces are a natural generalization of classical Lebesgue spaces. They are built upon convex growth functions and provide a flexible framework for studying integrability conditions beyond power-type behavior. In this survey paper, we present the basic definitions, main properties, and fundamental results concerning Orlicz spaces, and also discuss the Marcinkiewicz interpolation result for Orlicz spaces.
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BibTeX
@misc{siadat2026notes,
title = {{Notes on Orlicz Spaces and Interpolation}},
author = {M. Vali Siadat and Wilfredo Urbina-Romero},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.38455},
eprint = {2610.38455},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.38455},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Notes on Orlicz Spaces and Interpolation
AU - M. Vali Siadat
AU - Wilfredo Urbina-Romero
PY - 2026
DA - 2026/10/28
PB - arXiv
DO - 10.48550/arxiv.2610.38455
UR - https://arxiv.org/abs/2610.38455
AB - Orlicz spaces are a natural generalization of classical Lebesgue spaces. They are built upon convex growth functions and provide a flexible framework for studying integrability conditions beyond power-type behavior. In this survey paper, we present the basic definitions, main properties, and fundamental results concerning Orlicz spaces, and also discuss the Marcinkiewicz interpolation result for Orlicz spaces.
ER -