On geometrical characteristics and inequalities of new bicomplex Lebesgue spaces with hyperbolic-valued norm

DOI10.1515/GMJ-2023-2093MaRDI QIDQ6554466

Erdem Toksoy, Birsen Sağır

Publication date: 12 June 2024

Published in: Georgian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

\(\mathbb{BC}\)-convexity\(\mathbb{D}\)-valued normbicomplex Lebesgue space

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Geometry and structure of normed linear spaces (46B20) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)

Cites Work

• Title not available (Why is that?)
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• Title not available (Why is that?)
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• Bicomplex weighted Hardy spaces and bicomplex \(C^*\)-algebras
• Bicomplex linear operators on bicomplex Hilbert spaces and Littlewood's subordination theorem
• Infinite-dimensional bicomplex Hilbert spaces
• Finite-dimensional bicomplex Hilbert spaces
• Bicomplex quantum mechanics. II: The Hilbert space
• Geometry of Banach spaces. Selected topics
• Bicomplex version of Lebesgue's dominated convergence theorem and hyperbolic invariant measure
• Some fundamental theorems of functional analysis with bicomplex and hyperbolic scalars
• Topological bicomplex modules
• Geometric properties of Banach spaces and nonlinear iterations
• On bicomplex \(\mathbb{BC}\)-modules \(l_p^\Bbbk(\mathbb{BC})\) and some of their geometric properties
• Bicomplex Holomorphic Functions
• Some geometric properties of the non-Newtonian sequence spaces l_p (N)
• Summable Spaces and Their Duals, Matrix Transformations and Geometric Properties
• Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis
• Bicomplex holomorphic functional calculus
• Fixed Point Theory for Lipschitzian-type Mappings with Applications
• Sums and Intersections of Lebesgue Spaces.
• Uniformly Convex Spaces

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