# Boundary values of functions in a Sobolev space with Muckenhoupt weight on some non-Lipschitz domains

## Abstract

This paper gives an explicit description of the traces of functions in a weighted Sobolev space (with local Muckenhoupt weight) on the domain lying between two graphs of Lipschitz functions and on the complement of the closure of this domain. Bibliography: 11 titles.

- Authors:

- Moscow Institute of Physics and Technology (State University), Dolgoprudnyi, Moscow Region (Russian Federation)

- Publication Date:

- OSTI Identifier:
- 22364912

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Sbornik. Mathematics; Journal Volume: 205; Journal Issue: 8; Other Information: Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 97 MATHEMATICAL METHODS AND COMPUTING; DIAGRAMS; FUNCTIONS; GRAPH THEORY; MATHEMATICAL SOLUTIONS; MATHEMATICAL SPACE

### Citation Formats

```
Tyulenev, A I.
```*Boundary values of functions in a Sobolev space with Muckenhoupt weight on some non-Lipschitz domains*. United States: N. p., 2014.
Web. doi:10.1070/SM2014V205N08ABEH004413.

```
Tyulenev, A I.
```*Boundary values of functions in a Sobolev space with Muckenhoupt weight on some non-Lipschitz domains*. United States. doi:10.1070/SM2014V205N08ABEH004413.

```
Tyulenev, A I. Fri .
"Boundary values of functions in a Sobolev space with Muckenhoupt weight on some non-Lipschitz domains". United States.
doi:10.1070/SM2014V205N08ABEH004413.
```

```
@article{osti_22364912,
```

title = {Boundary values of functions in a Sobolev space with Muckenhoupt weight on some non-Lipschitz domains},

author = {Tyulenev, A I},

abstractNote = {This paper gives an explicit description of the traces of functions in a weighted Sobolev space (with local Muckenhoupt weight) on the domain lying between two graphs of Lipschitz functions and on the complement of the closure of this domain. Bibliography: 11 titles.},

doi = {10.1070/SM2014V205N08ABEH004413},

journal = {Sbornik. Mathematics},

number = 8,

volume = 205,

place = {United States},

year = {Fri Aug 01 00:00:00 EDT 2014},

month = {Fri Aug 01 00:00:00 EDT 2014}

}

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