Abstract
Let be a divergence form elliptic operator with complex bounded measurable coefficients, let be a positive Musielak–Orlicz function on of uniformly strictly critical lower-type , and let for , . In this paper, we study the Musielak–Orlicz Hardy space and its dual space , where denotes the adjoint operator of in . The -Carleson measure characterization and the John–Nirenberg inequality for the space are also established. Finally, as applications, we show that the Riesz transform and the Littlewood–Paley -function map continuously into .
Citation
Tri Dung Tran. "Musielak–Orlicz Hardy spaces associated with divergence form elliptic operators without weight assumptions." Nagoya Math. J. 216 71 - 110, December 2014. https://doi.org/10.1215/00277630-2817420
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