J
Jörgen Löfström
Publications - 8
Citations - 4590
Jörgen Löfström is an academic researcher. The author has contributed to research in topics: Interpolation space & Interpolation. The author has an hindex of 4, co-authored 8 publications receiving 4386 citations.
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Book
Interpolation Spaces: An Introduction
Jöran Bergh,Jörgen Löfström +1 more
TL;DR: In this paper, the authors define the Riesz-Thorin Theorem as a necessary and sufficient condition for interpolation spaces, and apply it to approximate spaces in the context of vector spaces.
Book ChapterDOI
General Properties of Interpolation Spaces
Jöran Bergh,Jörgen Löfström +1 more
TL;DR: In this article, the authors introduce some basic notation and definitions of interpolation spaces and discuss a few general results on the Aronszajn-Gagliardo theorem.
Book ChapterDOI
Interpolation of Lp-Spaces
Jöran Bergh,Jörgen Löfström +1 more
TL;DR: In this article, the Calderon-Marcinkiewicz theorem was extended to the real and complex interpolation of L p -spaces and Lorentz spaces over a measure space.
Book ChapterDOI
Interpolation of Sobolev and Besov Spaces
Jöran Bergh,Jörgen Löfström +1 more
TL;DR: In this paper, the Sobolev and Besov spaces are interpolated using Fourier multipliers on L p, and the Mihlin multiplier theorem is shown to be true.
Book ChapterDOI
The Real Interpolation Method
Jöran Bergh,Jörgen Löfström +1 more
TL;DR: In this paper, the real interpolation method is extended to include quasi-normed linear spaces and quasinormed Abelian groups, and these latter cases are treated with a minimum of new proofs in Sections 3.10 and 3.11.