Two-Sided Estimates of the -Functional for Spaces of Functions of Generalized Bounded Variation

A two-sided estimate is proposed for the -functional of the pair , where is the space of functions of generalized bounded variation constructed from a symmetric sequence space . The application of this estimate to various sequence spaces yields new interpolation theorems for spaces of finite Wiener–...

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Veröffentlicht in:	Functional analysis and its applications 2022, Vol.56 (1), p.19-26
1. Verfasser:	Berezhnoi, E. I.
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Schlagworte:	14/34 639/766/189 639/766/530 639/766/747 Analysis Functional Analysis Functionals Interpolation Mathematics Mathematics and Statistics
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description	A two-sided estimate is proposed for the -functional of the pair , where is the space of functions of generalized bounded variation constructed from a symmetric sequence space . The application of this estimate to various sequence spaces yields new interpolation theorems for spaces of finite Wiener–Young -variation, of finite Waterman -variation, of bounded modulus of variation in the sense of Chanturiya, etc.
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title	Two-Sided Estimates of the -Functional for Spaces of Functions of Generalized Bounded Variation
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