Reiteration Formulae for the Real Interpolation Method Including L or R Limiting Spaces-Reference-Cited by-同舟云学术

Reiteration Formulae for the Real Interpolation Method Including L or R Limiting Spaces

Published:2020-12-02 Issue: Volume:2020 Page:1-15
ISSN:2314-8888
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Doktorski Leo R. Ya.¹^ORCID

Affiliation:

1. Department Object Recognition, Fraunhofer Institute of Optronics, System Technologies and Image Exploitation IOSB, Gutleuthausstr. 1, 76275 Ettlingen, Germany

Abstract

We consider a real interpolation method defined by means of slowly varying functions. We present some reiteration formulae including so-called

L

R

limiting interpolation spaces. These spaces arise naturally in reiteration formulae for the limiting cases

θ = 0

θ = 1

. Applications to grand and small Lorentz spaces are given.

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2020/6685993.pdf

Reference15 articles.

1. Reiteration relations of the real interpolation method;R. Y. Doktorskii;Soviet Mathematics Doklady,1992

2. An application of limiting interpolation to Fourier series theory

3. Real Interpolation with Logarithmic Functors and Reiteration

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