Abstract
Let be a magnetic Schrödinger operator on
, where
and
satisfies some reverse Hölder conditions. Assume that
is a function such that
is an Orlicz function,
(the class of uniformly Muckenhoupt weights) and its uniformly critical lower type index
. In this article, the authors prove that the operators
,
and
are bounded from the Musielak-Orlicz-Hardy space associated with
,
, to the Musielak-Orlicz space
, via establishing some estimates for heat kernels of
. All these results are new even when
, with
, for all
and
.
AMS Subject Classifications:
Notes
Jun Cao is supported by the Fundamental Research Funds for the Central Universities [grant number 2012YBXS16]. Der-Chen Chang is partially supported by an NSF [grant number DMS-1203845] and Hong Kong RGC competitive earmarked research [grant number #601410] and [grant number #601813]. Dachun Yang is supported by the National Natural Science Foundation of China [grant number 11171027] and [grant number 11361020], the Specialized Research Fund for the Doctoral Program of Higher Education of China [grant number 20120003110003] and the Fundamental Research Funds for Central Universities of China [grant number 2012LYB26] and [grant number 2012CXQT09].