Hyperbolic valued Beurling weighted bicomplex Lebesgue spaces and some of their geometric characteristics

This study introduces hyperbolic-valued Beurling weight functions and establishes bicomplex weighted Lebesgue spaces using these weight functions. Further, it examines several geometric properties of spaces, such as B C -convexity, B C -strict convexity, and B C -uniform convexity.

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Podrobná bibliografie
Vydáno v:	Journal of inequalities and applications Ročník 2024; číslo 1; s. 153 - 17
Hlavní autor:	Toksoy, Erdem
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Cham Springer International Publishing 03.12.2024 Springer Nature B.V SpringerOpen
Témata:	Analysis Applications of Mathematics B $\mathbb{B}$ C $\mathbb{C}$ -convexity Bicomplex weighted Lebesgue space Convexity D $\mathbb{D}$ -Beurling weight Decomposition Mathematics Mathematics and Statistics Weighting functions 46B20 Beurling weight 43A15 Bicomplex weighted Lebesgue space convexity 46E30
ISSN:	1029-242X, 1025-5834, 1029-242X
On-line přístup:	Získat plný text
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Popis
Shrnutí:	This study introduces hyperbolic-valued Beurling weight functions and establishes bicomplex weighted Lebesgue spaces using these weight functions. Further, it examines several geometric properties of spaces, such as B C -convexity, B C -strict convexity, and B C -uniform convexity.
Bibliografie:	ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14
ISSN:	1029-242X 1025-5834 1029-242X
DOI:	10.1186/s13660-024-03238-7