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
1319
1329
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].
Astengo, F; DI BLASIO, B
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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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