A note on multilinear Muckenhoupt classes for multiple weights

• Autorzy: Songqing Chen , Huoxiong Wu , Qingying Xue
• Języki publikacji: EN

Abstrakty

EN

This paper is devoted to investigating the properties of multilinear $A_{P⃗}$ conditions and $A_{(P⃗,q)}$ conditions, which are suitable for the study of multilinear operators on Lebesgue spaces. Some monotonicity properties of $A_{P⃗}$ and $A_{(P⃗,q)}$ classes with respect to P⃗ and q are given, although these classes are not in general monotone with respect to the natural partial order. Equivalent characterizations of multilinear $A_{(P⃗,q)}$ classes in terms of the linear $A_{p}$ classes are established. These results essentially improve and extend the previous results.

Kategorie tematyczne

• 42B35: Function spaces arising in harmonic analysis
• 42B99: None of the above, but in this section

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2014
• Tom: 223
• Numer: 1
• Strony: 1-18

Daty

wydano

2014

Twórcy

autor

Songqing Chen

• School of Mathematical Sciences, Xiamen University, Xiamen, Fujian 361005, China
• School of Economics, Shanghai University of Finance and Economics, Shanghai 240033, China

autor

Huoxiong Wu

• School of Mathematical Sciences, Xiamen University, Xiamen, Fujian 361005, China

autor

Qingying Xue

• School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China

Identyfikatory

DOI

10.4064/sm223-1-1