Measure of non-compactness and limiting interpolation with slowly varying functions

Fernando Cobos, Luz M. Fernández‐Cabrera, Manvi Grover

Type: Article

Publication Date: 2024-03-21

Citations: 0

DOI: https://doi.org/10.1007/s43037-024-00335-z

Abstract

Abstract We give estimates for the measure of non-compactness of an operator interpolated by the limiting methods involving slowly varying functions. As applications we establish estimates for the measure of non-compactness of operators acting between Lorentz–Karamata spaces.

Locations

Banach Journal of Mathematical Analysis - View - PDF

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Works Cited by This (35)

Action	Title	Year	Authors
+	Measure of Non-compactness of Operators Interpolated by Limiting Real Methods	2011	Fernando Cobos Luz M. Fernández‐Cabrera Antón Martı́nez
+	Interpolation of Operators	1988	Curtis D. Bennett M Sharpley
+	Eigenvalue Distribution of Compact Operators	1986	Hermann König
+	Semi-Groups of Operators and Approximation	1967	Paul P. Butzer Hubert Berens
+	Spectral Theory and Differential Operators	2018	D. E. Edmunds Des Evans
+	Real and complex interpolation and extrapolation of compact operators	1992	Michael Ćwikel
+ PDF Chat	A function parameter in connection with interpolation of Banach spaces.	1978	Jan Gustavsson
+ PDF Chat	Real Interpolation with Logarithmic Functors and Reiteration	2000	W. D. Evans Bohumı́r Opic
+	Equivalence of K- and J-methods for limiting real interpolation spaces	2011	Fernando Cobos Thomas Kühn
+	Interpolation of compactness using Aronszajn-Gagliardo functors	1989	Fernando Cobos Jaak Peetre