期刊
FRACTIONAL CALCULUS AND APPLIED ANALYSIS
卷 18, 期 5, 页码 1128-1145出版社
WALTER DE GRUYTER GMBH
DOI: 10.1515/fca-2015-0065
关键词
fractional integrals; variable exponents; atomic decomposition; martingale Hardy spaces
资金
- National Natural Science Foundation of China [11471337]
- Hunan Provincial Natural Science Foundation [14JJ1004]
- International Postdoctoral Exchange Fellowship Program
In this paper we investigate the boundedness of fractional integral operators on predictable martingale Hardy spaces with variable exponents defined on a probability space. More precisely, let f = (f(n))(n >= 0) be a martingale on probability space (Omega, F, P), and let I(alpha)f, alpha > 0 be the fractional integral operator associated with f. Under some reasonable assumptions, it is proved that I(alpha)f is bounded on martingale Hardy spaces with variable exponents. Our method is an extension of atomic decomposition theorem to predicable martingale Hardy spaces of variable exponents.
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