Published December 2017 | Version v1
Journal article

Grand Martingale Hardy spaces

  • 1. Central South University, School of Mathematics and Statistics (China)
  • 2. Hunan University, Business School (China)

Description

We introduce grand Hardy spaces defined on a probability space. Analogous to the classical theory, we prove Doob's maximal inequality and obtain atomic characterization of grand Hardy martingale spaces. Finally, we investigate the John–Nirenberg theorem in the frame of grand Hardy spaces.

Additional details

Identifiers

Publishing Information

Journal Title
Acta Mathematica Hungarica (Online)
Journal Volume
153
Journal Issue
2
Journal Page Range
p. 417-429
ISSN
1588-2632

INIS

Country of Publication
Hungary
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
50040799
Subject category
S97: MATHEMATICAL METHODS AND COMPUTING;
Descriptors DEI
ATOMS; PROBABILITY; SPACE

Optional Information

Copyright
Copyright (c) 2017 Akad#Latin Small Letter E With Acute#miai Kiad#Latin Small Letter O With Acute#, Budapest, Hungary