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Interpolation of compact bilinear operators among quasi‐Banach spaces and applications
Author(s) -
Cobos Fernando,
FernándezCabrera Luz M.,
Martínez Antón
Publication year - 2018
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201700487
Subject(s) - bilinear interpolation , mathematics , interpolation (computer graphics) , pure mathematics , banach space , approximation property , interpolation space , operator theory , lp space , finite rank operator , mathematical analysis , functional analysis , computer science , statistics , animation , biochemistry , chemistry , computer graphics (images) , gene
We study the interpolation properties of compact bilinear operators by the general real method among quasi‐Banach couples. As an application we show that commutators of Calderón–Zygmund bilinear operators S : L p × L q → L rare compact provided that 1 / 2 < r < 1 , 1 < p , q < ∞ and 1 / p + 1 / q = 1 / r .