scholarly journals Hardy spaces for Bessel-Schrödinger operators

2018 ◽  
Vol 291 (5-6) ◽  
pp. 908-927
Author(s):  
Edyta Kania ◽  
Marcin Preisner
Keyword(s):  
Hardy Spaces ◽  
Schrödinger Operators ◽  
Schrodinger Operators

scholarly journals Hardy Spaces Associated to Schrödinger Operators on Product Spaces

2012 ◽  
Vol 2012 ◽  
pp. 1-17 ◽  
Author(s):  
Liang Song ◽  
Chaoqiang Tan
Keyword(s):  
Hardy Spaces ◽  
Atomic Decomposition ◽  
Schrödinger Operators ◽  
Nonnegative Function ◽  
Maximal Functions ◽  
Schrodinger Operators ◽  
Schrodinger Operator ◽  
Product Spaces ◽  
Area Integral ◽  
Lusin Area Integral

LetL=−Δ+Vbe a Schrödinger operator onℝn, whereV∈Lloc1(ℝn)is a nonnegative function onℝn. In this article, we show that the Hardy spacesLon product spaces can be characterized in terms of the Lusin area integral, atomic decomposition, and maximal functions.

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