On weighted compactness of commutator of semi-group maximal function and fractional integrals associated to Schrödinger operators

2021 ◽  
Author(s):  
Shifen Wang ◽  
Qingying Xue
Keyword(s):  
Maximal Function ◽  
Schrödinger Operators ◽  
Fractional Integrals ◽  
Schrodinger Operators ◽  
Semi Group

scholarly journals AN ATOMIC DECOMPOSITION FOR HARDY SPACES ASSOCIATED TO SCHRÖDINGER OPERATORS

2011 ◽  
Vol 91 (1) ◽  
pp. 125-144 ◽  
Author(s):  
LIANG SONG ◽  
CHAOQIANG TAN ◽  
LIXIN YAN
Keyword(s):  
Hardy Space ◽  
Maximal Function ◽  
Hardy Spaces ◽  
Atomic Decomposition ◽  
Schrödinger Operators ◽  
Nonnegative Function ◽  
Schrodinger Operators ◽  
Integrable Functions ◽  
Function Characterization ◽  
Product Domains

AbstractLetL=−Δ+Vbe a Schrödinger operator on ℝnwhereVis a nonnegative function in the spaceL1loc(ℝn) of locally integrable functions on ℝn. In this paper we provide an atomic decomposition for the Hardy spaceH1L(ℝn) associated toLin terms of the maximal function characterization. We then adapt our argument to give an atomic decomposition for the Hardy spaceH1L(ℝn×ℝn) on product domains.

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