Hardy spaces associated to the sections

スポンサーリンク

概要

• 論文の詳細を見る

• In this paper we define the Hardy space $H^1 {\Cal F}(\Bbb R^n)$ associated with a family $\Cal{F}$ of sections and a doubling measure μ, where $\Cal{F}$ is closely related to the Monge-Ampere equation. Furthermore, we show that the dual space of $H^1 {\Cal F}(\Bbb R^n)$ is just the space $BMO {\Cal F}(\Bbb R^n)$, which was first defined by Caffarelli and Gutierrez. We also prove that the Monge-Ampere singular integral operator is bounded from $H^1 {\Cal F}(\Bbb R^n)$ to $L^1(\Bbb R^n,dμ)$.

• 東北大学の論文

著者

• Ding Yong

  Department Of Mathematics Beijing Normal Universtiy

• Ding Yong

  Department Of Mathematics Beijing Normal University

• LIN Chin-Cheng

  Department of Mathematics National Central University

• Ding Yong

  Department Of Ecology And Environmental Science Inner Mongolia University

関連論文

• L^p boundedness of some rough operators with different weights
• Weighted L^p-boundedness for higher order commutators of oscillatory singular integrals
• Homogeneous fractional integrals on Hardy spaces
• Weak type (1, 1) bounds for a class of the Littlewood-Paley operators
• Productivity-species richness relationship changes from unimodal to positive linear with increasing spatial scale in the Inner Mongolia steppe
• Hardy spaces associated to the sections
• $L^p$ boundedness of rough Marcinkiewicz integral on product torus

スポンサーリンク