DUAL SPACES OF MULTI-PARAMETER MARTINGALE HARDY SPACES

Ferenc Weisz
2016 Quarterly Journal of Mathematics  
In this paper we introduce the generalized multi-parameter martingale BM O spaces. The atomic decomposition of the multi-parameter martingale Hardy-Lorentz space H s p,q is given. With the help of this, the dual space of H s p,q is characterized as the generalized BM O space. Finally, as an application, John-Nirenberg inequality is generalized for multi-parameters.
doi:10.1093/qmath/hav040 fatcat:lqui6jtgqrdsfjdh3zutsym3dq