Commutators for Approximation Spaces and Marcinkiewicz-Type Multipliers

Authors: Cerdà J.¹; Martín J.²; Ditzian N.Z.Y.

Source: Journal of Approximation Theory, Volume 100, Number 2, October 1999 , pp. 251-265(15)

Publisher: Academic Press

Abstract:

It is proved that, under some conditions, weaker than those of the Marcinkiewicz multiplier theorem, the multiplier operator T(_k c_ke^ikt)=_{k k}c_ke^ikt satisfies on the Besov space B^, q_p the commutator theorem[T, T]_{B^, qp, B^, qp}c T,where T=max(T_{B^0, q0p, B^0, q0p}, T_{B^1, q1p, B^1, q1p} and ₀>>₁>0. Copyright 1999 Academic Press.

Language: English

Document Type: Research article

Affiliations: 1: Departament de Matemàtica Aplicada i Anàlisi, Universitat de Barcelona, Barcelona, E-08071, Spain 2: Departament de Matemàtica Aplicada i Anàlisi, Universitat de Barcelona, Barcelona, E-08071, Spain

Publication date: 1999-10-01

• In this: publication
• By this: publisher
• In this Subject: Mathematics and Statistics
• By this author: Cerdà J. ;  Martín J. ;  Ditzian N.Z.Y.

Website © Publishing Technology. Article copyright remains with the publisher, society or author(s) as specified within the article.

• Terms and conditions
• Privacy policy
• Information for advertisers