Geodesic
Spaces of functions of fractional smoothness on an irregular domain
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Function theory and differential equations, Tome 269 (2010), pp. 31-51.

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On an irregular domain $G\subset\mathbb R^n$ of a certain type, we introduce spaces of functions of fractional smoothness $s>0$. We prove embedding theorems relating these spaces to the Sobolev spaces $W_p^m(G)$ and Lebesgue spaces $L_p(G)$. 
@article{TM_2010_269_a2,
     author = {O. V. Besov},
     title = {Spaces of functions of fractional smoothness on an irregular domain},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {31--51},
     publisher = {mathdoc},
     volume = {269},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2010_269_a2/}
}
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O. V. Besov. Spaces of functions of fractional smoothness on an irregular domain. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Function theory and differential equations, Tome 269 (2010), pp. 31-51. http://geodesic.mathdoc.fr/item/TM_2010_269_a2/

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