# Martingale Rosenthal inequalities in symmetric spaces

## Abstract

We establish inequalities similar to the classical Rosenthal inequalities for sequences of martingale differences in general symmetric spaces; a central role is played here by the predictable quadratic characteristic of a martingale. Bibliography: 26 titles.

- Authors:

- Samara State University, Samara (Russian Federation)

- Publication Date:

- OSTI Identifier:
- 22364155

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Sbornik. Mathematics; Journal Volume: 205; Journal Issue: 12; Other Information: Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 97 MATHEMATICAL METHODS AND COMPUTING; CALCULATION METHODS; MATHEMATICAL MODELS; MATHEMATICAL SOLUTIONS; MATHEMATICAL SPACE; SYMMETRY

### Citation Formats

```
Astashkin, S V.
```*Martingale Rosenthal inequalities in symmetric spaces*. United States: N. p., 2014.
Web. doi:10.1070/SM2014V205N12ABEH004436.

```
Astashkin, S V.
```*Martingale Rosenthal inequalities in symmetric spaces*. United States. doi:10.1070/SM2014V205N12ABEH004436.

```
Astashkin, S V. Wed .
"Martingale Rosenthal inequalities in symmetric spaces". United States.
doi:10.1070/SM2014V205N12ABEH004436.
```

```
@article{osti_22364155,
```

title = {Martingale Rosenthal inequalities in symmetric spaces},

author = {Astashkin, S V},

abstractNote = {We establish inequalities similar to the classical Rosenthal inequalities for sequences of martingale differences in general symmetric spaces; a central role is played here by the predictable quadratic characteristic of a martingale. Bibliography: 26 titles.},

doi = {10.1070/SM2014V205N12ABEH004436},

journal = {Sbornik. Mathematics},

number = 12,

volume = 205,

place = {United States},

year = {Wed Dec 31 00:00:00 EST 2014},

month = {Wed Dec 31 00:00:00 EST 2014}

}

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