scholarly journals Characterization of temperatures associated to Schrödinger operators with initial data in BMO spaces

2021 ◽  
Author(s):  
Minghua Yang ◽  
Chao Zhang
Keyword(s):  
Initial Data ◽  
Schrödinger Operators ◽  
Schrodinger Operators ◽  
Bmo Spaces

scholarly journals A characterization of singular Schrödinger operators on the half-line

2020 ◽  
pp. 1-19
Author(s):  
Raffaele Scandone ◽  
Lorenzo Luperi Baglini ◽  
Kyrylo Simonov
Keyword(s):  
Schrödinger Operators ◽  
Half Line ◽  
Schrodinger Operators

scholarly journals Product Hardy, BMO spaces and iterated commutators associated with Bessel Schrodinger operators

2019 ◽  
Vol 68 (1) ◽  
pp. 247-289
Author(s):  
Jorge Betancor ◽  
Xuan Duong ◽  
Ji Li ◽  
Brent Wick ◽  
Dongyong Yang
Keyword(s):  
Schrödinger Operators ◽  
Schrodinger Operators ◽  
Bmo Spaces ◽  
Iterated Commutators

scholarly journals Area Integral Characterization of Hardy space H1L related to Degenerate Schrödinger Operators

2019 ◽  
Vol 9 (1) ◽  
pp. 1291-1314
Author(s):  
Jizheng Huang ◽  
Pengtao Li ◽  
Yu Liu
Keyword(s):  
Hardy Space ◽  
Schrödinger Operators ◽  
Heat Semigroup ◽  
Schrodinger Operators ◽  
Reverse Hölder Class ◽  
Area Integral ◽  
Muckenhoupt Class ◽  
Degenerate Schrödinger Operator ◽  
Reverse Hölder

Abstract Let $$\begin{array}{} \displaystyle Lf(x)=-\frac{1}{\omega(x)}\sum_{i,j}^{}\partial_{i}(a_{ij}(\cdot)\partial_{j}f)(x)+V(x)f(x) \end{array}$$ be the degenerate Schrödinger operator, where ω is a weight from the Muckenhoupt class A2, V is a nonnegative potential that belongs to a certain reverse Hölder class with respect to the measure ω(x)dx. For such an operator we define the area integral $\begin{array}{} \displaystyle S^{L}_h \end{array}$ associated with the heat semigroup and obtain the area integral characterization of $\begin{array}{} \displaystyle H^{1}_{L} \end{array}$, which is the Hardy space associated with L.

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