The generalised Cayley transform C from an Iwasawa N-group into the corresponding real unit sphere S induces isomorphisms between suitable Sobolev spaces H_(S) and H_(N). We study the differential of C, and we obtain a criterion for a function to be in H_(S).

Astengo, F., DI BLASIO, B. (2006). Sobolev spaces and the Cayley transform. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 134, 1319-1329 [10.1090/S0002-9939-05-08278-X].

Sobolev spaces and the Cayley transform

DI BLASIO, BIANCA
2006

Abstract

The generalised Cayley transform C from an Iwasawa N-group into the corresponding real unit sphere S induces isomorphisms between suitable Sobolev spaces H_(S) and H_(N). We study the differential of C, and we obtain a criterion for a function to be in H_(S).
Articolo in rivista - Articolo scientifico
Sobolev spaces, sphere, Cayley transform
English
2006
134
1319
1329
none
Astengo, F., DI BLASIO, B. (2006). Sobolev spaces and the Cayley transform. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 134, 1319-1329 [10.1090/S0002-9939-05-08278-X].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/10570
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