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Besoy, Blanca F. and Cobos, Fernando and Fernández Cabrera, Luz M. (2020) Associate spaces of logarithmic interpolation spaces and generalized Lorentz-Zygmund spaces. Annales Academiae Scientiarum Fennicae Mathematica, 45 (1). pp. 493-510. ISSN 1798-2383
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Official URL: https://www.acadsci.fi/mathematica/Vol45/vol45pp0493-0510.pdf
Abstract
We determine the associate space of the logarithmic interpolation space (X0, X1)1,q,A where X0 and X1 are Banach function spaces over a σ-finite measure space (Ω, µ). Particularizing the results for the case of the couple (L1, L∞) over a non-atomic measure space, we recover results of Opic and Pick on associate spaces of generalized Lorentz-Zygmund spaces L(∞,q;A). We also establish the corresponding results for sequence spaces.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Banach function Spaces; Generalized Lorentz-Zygmund spaces; description of K-spaces in terms of the J-functional; generalized Lorentz-Zygmund spaces |
| Palabras clave (otros idiomas): | |
| Subjects: | Sciences > Mathematics > Mathematical analysis |
| ID Code: | 62068 |
| Deposited On: | 10 Sep 2020 10:49 |
| Last Modified: | 24 Jan 2023 15:27 |
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Associate spaces of logarithmic interpolation spaces and generalized Lorentz-Zygmund spaces. (deposited 04 Sep 2019 10:31)
- Associate spaces of logarithmic interpolation spaces and generalized Lorentz-Zygmund spaces. (deposited 10 Sep 2020 10:49) [Currently Displayed]
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