The predual and John-Nirenberg inequalities on generalized BMO martingale spaces

By Yong Jiao, A. Yang, Lian Wu, Rui Yi. 2014

73 citations recorded by the source corpus.

In this paper we introduce the generalized BMO martingale spaces by stopping time sequences, which enable us to characterize the dual spaces of martingale Hardy-Lorentz spaces H s p,q for 0 < p ≤ 1,1 < q < ∞. Moreover, by duality we obtain a John-Nirenberg theorem for the generalized BMO martingale spaces when the stochastic basis is regular. We also extend the boundedness of fractional integrals to martingale Hardy-Lorentz spaces.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/fe5b240e5c672c7daea5ca2817e361b5c51b94c7

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In Applied Mathematics

1. Ferenc Weisz
2. Dachun Yang
3. Yong Jiao
4. Guangheng Xie
5. Dejian Zhou
6. Wen Yuan
7. Yuan Zhou
8. Jun Liu

In Mathematical Physics

1. Ferenc Weisz
2. Guangheng Xie
3. Dachun Yang
4. Yong Jiao
5. Dejian Zhou
6. Wen Yuan
7. Yuan Zhou
8. Jun Liu

Citations in the corpus

• New martingale inequalities and applications to Fourier analysis (2018, methodology): “spaces were considered in many articles, for instance, martingale Hardy spaces, martingale Lorentz Hardy spaces and martingale variable Hardy spaces were studied by Weisz [76, 77, 75] and Jiao et al. [49, 40, 39, 35, 38]. Moreover, martingale Lorentz–Karamata Hardy spaces and multi-parameter marting”
• DUAL SPACES AND JOHN–NIRENBERG INEQUALITIES OF MARTINGALE HARDY–LORENTZ–KARAMATA SPACES (2015, methodology): “We refer to the book [20] for the function space version, respectively, to the books [9, 17, 22] for the martingale version of this theorem.”