An extension of Bourdaud-Kateb-Meyer theorem
Korry, S
HAL, hal-00693767 / Harvested from HAL
Let H be a real separable Hilbert space. We prove that, if 1 < p < infinity and 0 less than or equal to s < 1 + 1/p, then There Exists C > 0, For All f is an element of H-p(s)(H), \\ \f\H \\(Hps) less than or equal to C \\f\\(Hps(H)). The condition s < 1 + 1/p is essential. As a corollary we describe a class of bounded operators on Sobolev space H-p(s) and on Besov space B-p,q(s) for all 1 < p < infinity, 0 < q less than or equal to infinity and 0 less than or equal to s < 1 + 1/p. (C) 2000 Academie des sciences/Editions scientifiques et medicales Elsevier SAS.
Publié le : 2000-07-05
Classification:  [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph]
@article{hal-00693767,
     author = {Korry, S},
     title = {An extension of Bourdaud-Kateb-Meyer theorem},
     journal = {HAL},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/hal-00693767}
}
Korry, S. An extension of Bourdaud-Kateb-Meyer theorem. HAL, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/hal-00693767/