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Maximal function characterizations of Hardy spaces associated with magnetic Schrödinger operators
-
Renjin Jiang
,
Dachun Yang
Veröffentlicht/Copyright:
1. Mai 2012
Abstract.
Let 
be a magnetic Schrödinger operator
on 
, 
, where 
and 
. In this paper, the authors
establish the equivalent characterizations of the Hardy space
for 
,
defined by the Lusin area function associated with 
,
in terms of the radial maximal
functions and the non-tangential maximal functions
associated with 
and 
, respectively.
This gives an affirmative answer to
an open problem of Xuan Thinh Duong et al. [Ark. Mat. 44 (2006), 261–275].
The boundedness of the Riesz transforms 
,
, from 
to 
is also presented, where 
is the closure of
in 
and 
.
Received: 2009-04-19
Published Online: 2012-05-01
Published in Print: 2012-May
© 2012 by Walter de Gruyter Berlin Boston
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Artikel in diesem Heft
- Masthead
- -variable fractals: dimension results
- Maximal function characterizations of Hardy spaces associated with magnetic Schrödinger operators
- Phylogenetic analysis and homology
- Rational homotopy type of the moduli of representations with Borel mold
- Transcendence of special values of quasi-modular forms
- Use of reproducing kernels and Berezin symbols technique in some questions of operator theory
- Infinite-dimensional supermanifolds over arbitrary base fields
- Weyl and Zariski chambers on K3 surfaces
- The catenary and tame degree of numerical monoids generated by generalized arithmetic sequences
- Solving algebraic equations in roots of unity
Schlagwörter für diesen Artikel
Hardy space;
magnetic
Schrödinger operator;
maximal function;
Riesz transform
Artikel in diesem Heft
- Masthead
- -variable fractals: dimension results
- Maximal function characterizations of Hardy spaces associated with magnetic Schrödinger operators
- Phylogenetic analysis and homology
- Rational homotopy type of the moduli of representations with Borel mold
- Transcendence of special values of quasi-modular forms
- Use of reproducing kernels and Berezin symbols technique in some questions of operator theory
- Infinite-dimensional supermanifolds over arbitrary base fields
- Weyl and Zariski chambers on K3 surfaces
- The catenary and tame degree of numerical monoids generated by generalized arithmetic sequences
- Solving algebraic equations in roots of unity
