Sobolev Algebras Through a ‘Carré Du Champ’ Identity
2018 ◽
Vol 61
(4)
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pp. 1041-1054
AbstractWe consider abstract Sobolev spaces of Bessel-type associated with an operator. In this work, we pursue the study of algebra properties of such functional spaces through the corresponding semigroup. As a follow-up to our previous work, we show that by making use of the property of a ‘carré du champ’ identity, this algebra property holds in a wider range than previously shown.
Keyword(s):
1999 ◽
Vol 173
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pp. 189-192
1973 ◽
Vol 31
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pp. 412-413
1979 ◽
Vol 10
(3)
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pp. 139-144
2020 ◽
Vol 29
(2)
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pp. 688-704
2019 ◽
Vol 28
(3)
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pp. 1039-1052
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2020 ◽
Vol 29
(4)
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pp. 1987-1996
2019 ◽
Vol 4
(6)
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pp. 1589-1594