2016
DOI: 10.1007/s10474-016-0670-6
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Dual spaces of weak martingale Hardy–Lorentz–Karamata spaces

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Cited by 14 publications
(4 citation statements)
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“…The weak Hardy spaces consisting of Vilenkin martingales were originally studied by Weisz [25] and then fully generalized by Hou and Ren [9]. Inspired by these, Jiao et al [13,12] and Liu et al [17,16] investigated the weak martingale Orlicz-Hardy spaces associated with concave functions. Zhou et al [31] introduced the weak martingale Orlicz-Karamata-Hardy spaces associated with concave functions and established their atomic characterizations.…”
Section: Introductionmentioning
confidence: 99%
“…The weak Hardy spaces consisting of Vilenkin martingales were originally studied by Weisz [25] and then fully generalized by Hou and Ren [9]. Inspired by these, Jiao et al [13,12] and Liu et al [17,16] investigated the weak martingale Orlicz-Hardy spaces associated with concave functions. Zhou et al [31] introduced the weak martingale Orlicz-Karamata-Hardy spaces associated with concave functions and established their atomic characterizations.…”
Section: Introductionmentioning
confidence: 99%
“…此外, 文献 [8,9] 还将 Karamata 型空间和凹函数结合起 来, 研究了鞅 Hardy-Orlicz-Karamta 空间和弱 Orlicz-Hardy-Karamata 空间上的原子分解、对偶和鞅 不等式等. 其他关于 Karamata 型鞅空间的研究, 可参见文献 [10,11].…”
Section: 引言unclassified
“…Inspired by [28,34], Liu et al [36] investigated the Lorentz-Karamata Hardy spaces for Banach space-valued martingales; Zhou et al [65] and Wu et al [61] studied the weak Orlicz-Karamata-Hardy martingale spaces and Orlicz-Karamata martingale spaces, respectively. In 2017, Liu and Zhou [37] investigated the boundedness of fractional integral operators on Lorentz-Karamata martingale spaces. Motivated by these results, the authors [25,26] introduced a class of Orlicz-Lorentz-Karamata spaces, which are much wider than the Lorentz-Karamata spaces or the Orlicz-Lorentz spaces and other important function spaces, and then developed a theory of the martingale Hardy spaces in the new framework.…”
Section: Introductionmentioning
confidence: 99%