Henstock–Orlicz space and its dense space

DOI10.1142/S179355712150114XzbMath1487.46029arXiv1911.04885OpenAlexW3044212652MaRDI QIDQ5164636

Bipan Hazarika, Hemanta Kalita

Publication date: 12 November 2021

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.04885

zbMATH Keywords

Orlicz spacesymmetric spaceHenstock-Kurzweil integrable functiondense spaceHenstock-Orlicz classHenstock-Orlicz 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) Denjoy and Perron integrals, other special integrals (26A39)

Related Items

Modular convergence in \(H\)-Orlicz spaces of Banach valued functions, THE WEAK DROP PROPERTY AND THE DE LA VALL´EE POUSSIN THEOREM, Unnamed Item, Countable additivity of Henstock-Dunford integrable functions and Orlicz space, Canonical Orlicz class 𝒦𝒮−𝜃[ℝJn]

Cites Work

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• Foundations of symmetric spaces of measurable functions. Lorentz, Marcinkiewicz and Orlicz spaces
• Characterization of entire sequences via double Orlicz space
• Some collections of functions dense in an Orlicz space
• Orlicz-Sobolev spaces and imbedding theorems
• Generalized ordinary differential equations and continuous dependence on a parameter
• Functional Analysis and the Feynman Operator Calculus
• The Equivalence of Generalized Forms of the Ward, Variational, Denjoy-Stieltjes, and Perron-Stieltjes Integrals
• On some classes of sequences defined by sequences of Orlicz functions
• Linear functionals on Denjoy-integrable functions