In:
Advances in Nonlinear Analysis, Walter de Gruyter GmbH, Vol. 9, No. 1 ( 2019-12-31), p. 1291-1314
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 A 2 , 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 .
Type of Medium:
Online Resource
ISSN:
2191-950X
,
2191-9496
DOI:
10.1515/anona-2020-0051
Language:
Unknown
Publisher:
Walter de Gruyter GmbH
Publication Date:
2019
detail.hit.zdb_id:
2645915-2