Boundary regularity of admissible operators.
Lampert, Christoph H.
Publicacions Matemàtiques, Tome 49 (2005), p. 179-195 / Harvested from Biblioteca Digital de Matemáticas
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In strictly pseudoconvex domains with smooth boundary, we prove a commutator relationship between admissible integral operators, as introduced by Lieb and Range, and smooth vector fields which are tangential at boundary points. This makes it possible to gain estimates for admissible operators in function spaces which involve tangential derivatives. Examples are given under with circumstances these can be transformed into genuine Sobolev- and Ck-estimates.

Publié le : 2005-01-01
DMLE-ID : 4066 
@article{urn:eudml:doc:41558,
     title = {Boundary regularity of admissible operators.},
     journal = {Publicacions Matem\`atiques},
     volume = {49},
     year = {2005},
     pages = {179-195},
     zbl = {1090.47034},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41558}
}

Lampert, Christoph H. Boundary regularity of admissible operators.. Publicacions Matemàtiques, Tome 49 (2005) pp. 179-195. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41558/