THERMAL SCIENCE

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Mukhtar Y. Y. Abdalla

GENERALIZED HYPERBOLIC FUNCTION SPACE OF MIXED NORMS WITH SOME APPLICATIONS

ABSTRACT
This paper presents new definitions for Bloch spaces, hyperbolic derivatives, and general hyperbolic Besov spaces. Furthermore, we present a fresh demonstration of the hyperbolic function through the application of Holder inequality. Through the application of Holder inequality. We also provide attributes for functions within the declared classes in the unit disc. Furthermore, a collection of weighted tent functions is studied, and features of identity operators are investigated for the new tent function spaces.
KEYWORDS
Bloch spaces, hyperbolic Besov-space, mixed norms
PAPER SUBMITTED: 2024-07-21
PAPER REVISED: 2024-10-15
PAPER ACCEPTED: 2024-11-01
PUBLISHED ONLINE: 2025-01-25
DOI REFERENCE: https://doi.org/10.2298/TSCI2406927A
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2024, VOLUME 28, ISSUE Issue 6, PAGES [4927 - 4932]
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Generalized hyperbolic function space of mixed norms with some applications

2025 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence