Interpolation of compact bilinear operators among quasi‐Banach spaces and applications | Zendy

Cobos Fernando | Zendy; FernándezCabrera Luz M. | Zendy; Martínez Antón | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Premium

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 .

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research