A note on Carleson embedding theorems

Mingming Cao; Hitoshi Tanaka; Qingying Xue; Kozo Yabuta

2018/93/3-4 (15) — DOI: 10.5486/PMD.2018.8309 — pp. 517-523

A note on Carleson embedding theorems

Authors: Mingming Cao, Hitoshi Tanaka, Qingying Xue and Kozo Yabuta

Abstract:

In this note, the dyadic Carleson embedding theorem in the multi-parameter setting will be presented. In the case of one parameter, a new simple dyadic proof will be given by using the technique of principal cubes.

Keywords: Carleson embedding theorems, dyadic maximal operator

Mathematics Subject Classification: 42B20, 42B25