2010•Journal of South China Normal UniversityRequires access

THE BOUNDEDNESS OF COMMUTATOR ASSOCIATED TO WEIGHTED HARDY-LITTLEWOOD AVERAGE OPERATOR IN HERZ-TYPE SPACE

Canqin Tang

Abstract

The boundedness of commutator Uψb generated by the Weighted Hardy-Littlewood average operator U and BMO function b in Herz and Morrey-Herz type spaces are discussed.It is showed that the sufficient condition for its boundedness in the Morrey-Herz type spaces is ∫10t-(α+n/q2-1)ψ(t)log2tdt∞.It turned to be ∫10t-n/pψ(t)log2tdt∞ as α=0,1=0 and q1=q2=p1,and then Uψb is bounded on Lp(Rn).

About this research paper

What this paper is about

Why it matters

A significance statement is not available in the OpenAlex record.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Key concepts: Commutator, Mathematics, Hardy space, Bounded mean oscillation, Type (biology), Bounded function, Operator (biology), Pure mathematics