Littlewood-Paley g-functions with rough kernels on homogeneous groups

• Autorzy: Yong Ding , Xinfeng Wu
• Języki publikacji: EN

Abstrakty

EN

Let 𝔾 be a homogeneousgroup on ℝⁿ whose multiplication and inverse operations are polynomial maps. In 1999, T. Tao proved that the singular integral operator with Llog⁺L function kernel on ≫ is both of type (p,p) and of weak type (1,1). In this paper, the same results are proved for the Littlewood-Paley g-functions on 𝔾

Kategorie tematyczne

• 43A80: Analysis on other specific Lie groups
• 42B25: Maximal functions, Littlewood-Paley theory
• 43A99: None of the above, but in this section

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2009
• Tom: 195
• Numer: 1
• Strony: 51-86

Daty

wydano

2009

Twórcy

autor

Yong Ding

• School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems (BNU), Beijing, 100875, China

autor

Xinfeng Wu

• Department of Mathematics, China University of Mining and Technology (Beijing), Beijing, 100083, China

Identyfikatory

DOI

10.4064/sm195-1-4