Weighted boundedness of Toeplitz type operators related to singular integral operators with non-smooth kernel

• Autorzy: Xiaosha Zhou , Lanzhe Liu
• Języki publikacji: EN

Abstrakty

EN

Some weighted sharp maximal function inequalities for the Toeplitz type operator $T_b = ∑_{k= 1}^{m} T^{k,1}M_bT^{k,2}$ are established, where $T^{k,1}$ are a fixed singular integral operator with non-smooth kernel or ±I (the identity operator), $T^{k,2}$ are linear operators defined on the space of locally integrable functions, k = 1,..., m, and $M_b(f) = bf$. The weighted boundedness of $T_b$ on Morrey spaces is obtained by using sharp maximal function inequalities.

Kategorie tematyczne

• 42B25: Maximal functions, Littlewood-Paley theory
• 42B20: Singular and oscillatory integrals (Calder\'on-Zygmund, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2013
• Tom: 133
• Numer: 2
• Strony: 253-271

Daty

wydano

2013

Twórcy

autor

Xiaosha Zhou

• Department of Mathematics, Changsha University of Science and Technology, Changsha 410077, P.R. China

autor

Lanzhe Liu

• Department of Mathematics, Changsha University of Science and Technology, Changsha 410077, P. R. China

Identyfikatory

DOI

10.4064/cm133-2-12