# Nonlocal quadratic forms with visibility constraint

@article{Kassmann2022NonlocalQF, title={Nonlocal quadratic forms with visibility constraint}, author={Moritz Kassmann and Vanja Wagner}, journal={Mathematische Zeitschrift}, year={2022}, volume={301}, pages={3087 - 3107} }

Given a subset D of the Euclidean space, we study nonlocal quadratic forms that take into account tuples (x,y)∈D×D\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$(x,y) \in D \times D$$\end{document} if and only if the line segment between x and y is contained in D. We discuss regularity of the corresponding…

## 3 Citations

### Fractional Sobolev spaces with power weights

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We investigate the form of the closure of the smooth, compactly supported functions C∞ c (Ω) in the weighted fractional Sobolev space W (Ω) for bounded Ω. We focus on the weights w, v being powers of…

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- MathematicsStudia Mathematica
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We investigate the comparability of generalized Triebel-Lizorkin and Sobolev seminorms on uniform and non-uniform sets when the integration domain is truncated according to the distance from the…

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