SU\G(𝔸)/K·U

Boundedness of commutators of strongly singular convolution operators on Herz-type spaces

Zongguang Liu

Type: Article

Publication Date: 2003-01-01

Citations: 2

DOI: https://doi.org/10.4064/sm157-1-3

Abstract

The author investigates the boundedness of the higher order commutator of strongly singular convolution operator, $T^m_b$, on Herz spaces $\dot {K}^{\alpha ,p}_q({{\mathbb R}}^n)$ and $K^{\alpha ,p}_q({{\mathbb R}}^n)$, and on a new class of Herz-type Ha

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Works Cited by This (10)

Action Title Year Authors
+ Boundedness of commutators on homogeneous Herz spaces 1998 Shanzhen Lu
Lin Tang
Dachun Yang
+ PDF Chat Another characterization of BMO 1980 Ronald R. Coifman
Richard Rochberg
+ PDF Chat Weighted norm inequalities for strongly singular convolution operators 1984 Sagun Chanillo
+ PDF Chat The continuity of commutators on Herz-type spaces. 1997 Shanzhen Lu
Dachun Yang
+ Special trigonometric series in 𝑘-dimensions 1965 Stephen Wainger
+ PDF Chat Hp spaces of several variables 1972 Charles Fefferman
E. M. Stein
+ Strongly singular convolution operators on the weighted Herz-type Hardy spaces 1998 Xiaochun Li
Shanzhen Lu
+ Weighted norm inequalities for commutators of strongly singular integrals 1991 José Garcı́a-Cuerva
Eleonor Harboure
Carlos Segovia
J. L. Torrea
+ PDF Chat Another Characterization of BMO 1980 R. R. Coifman
R. Rochberg
+ PDF Chat Weighted Norm Inequalities for Strongly Singular Convolution Operators 1984 Sagun Chanillo