Interpolation of operators of weak type $(ϕ_0, ψ_0, ϕ_1, ψ_1)$ in Lorentz spaces

We prove theorems of interpolation of quasilinear operators of weak type (φ0 , ψ0 , φ1 , ψ1 ) in the Lorentz spaces. The operators considered are the analogs of the Calderon and Benett operators for concave and convex functions φ0 (t), &am...

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Bibliographic Details
Date:2005
Main Authors: Peleshenko, B. I., Пелешенко, Б. И.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 2005
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/3703
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal