Hardy space H[1] associated to Schrödinger operator with potential satisfying reverse Hölder inequality
Hardy space H[1] associated to Schrödinger operator with potential satisfying reverse Hölder inequality
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DOI：
10.4171/rmi/257
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发表时间：
1999-08
影响因子：
1.2
通讯作者：
Jacek Dziubański;J. Zienkiewicz
中科院分区：
文献类型：
--
作者：
Jacek Dziubański;J. Zienkiewicz
设{Tt}t>0是由Schrodinger算子-A =？- V，其中V是属于某个反向保持器类的非负电势。利用半群{Tt}t>0的极大函数定义了一个哈代空间HA 1.原子和Riesz变换HA 1的特征。
Let {Tt}t>0 be the semigroup of linear operators generated by a Schrodinger operator -A = ? - V, where V is a nonnegative potential that belongs to a certain reverse Holder class. We define a Hardy space HA1 by means of a maximal function associated with the semigroup {Tt}t>0. Atomic and Riesz transforms characterizations of HA1 are shown.