# Absolute Continuity of Sobolev Functions and Moduli of Families of Hypersurfaces Related to Lorentz Spaces

## Abstract

We study traces of functions in Sobolev–Lorentz spaces on Lipschitz hypersurfaces. Some aspects concerning the (n − 1)-absolute continuity are studied.

- Authors:

- Sobolev Institute of Mathematics SB RAS (Russian Federation)

- Publication Date:

- OSTI Identifier:
- 22771205

- Resource Type:
- Journal Article

- Journal Name:
- Journal of Mathematical Sciences

- Additional Journal Information:
- Journal Volume: 231; Journal Issue: 2; Other Information: Copyright (c) 2018 Springer Science+Business Media, LLC, part of Springer Nature; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1072-3374

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 97 MATHEMATICAL METHODS AND COMPUTING; FUNCTIONS; MATHEMATICAL SPACE; SURFACES

### Citation Formats

```
Romanov, A. S., E-mail: asrom@math.nsc.ru.
```*Absolute Continuity of Sobolev Functions and Moduli of Families of Hypersurfaces Related to Lorentz Spaces*. United States: N. p., 2018.
Web. doi:10.1007/S10958-018-3820-2.

```
Romanov, A. S., E-mail: asrom@math.nsc.ru.
```*Absolute Continuity of Sobolev Functions and Moduli of Families of Hypersurfaces Related to Lorentz Spaces*. United States. doi:10.1007/S10958-018-3820-2.

```
Romanov, A. S., E-mail: asrom@math.nsc.ru. Tue .
"Absolute Continuity of Sobolev Functions and Moduli of Families of Hypersurfaces Related to Lorentz Spaces". United States. doi:10.1007/S10958-018-3820-2.
```

```
@article{osti_22771205,
```

title = {Absolute Continuity of Sobolev Functions and Moduli of Families of Hypersurfaces Related to Lorentz Spaces},

author = {Romanov, A. S., E-mail: asrom@math.nsc.ru},

abstractNote = {We study traces of functions in Sobolev–Lorentz spaces on Lipschitz hypersurfaces. Some aspects concerning the (n − 1)-absolute continuity are studied.},

doi = {10.1007/S10958-018-3820-2},

journal = {Journal of Mathematical Sciences},

issn = {1072-3374},

number = 2,

volume = 231,

place = {United States},

year = {2018},

month = {5}

}

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