|
Zapiski Nauchnykh Seminarov LOMI, 1983, Volume 126, Pages 77–87
(Mi znsl4195)
|
|
|
|
This article is cited in 2 scientific papers (total in 2 papers)
Free interpolation by functions with $H^1$ derivative
E. M. Dyn'kin
Abstract:
Free interpolation sets for the class $H^1_1$ of functions with $H^1$ derivative are described. Traces of $H^1_1$ functions on the interpolation set are characterized in inner terms. This characterization is of Besov type. It includes a special homogeneous measure on a given set; the existence of such a measure is also proved.
Citation:
E. M. Dyn'kin, “Free interpolation by functions with $H^1$ derivative”, Investigations on linear operators and function theory. Part XII, Zap. Nauchn. Sem. LOMI, 126, "Nauka", Leningrad. Otdel., Leningrad, 1983, 77–87
Linking options:
https://www.mathnet.ru/eng/znsl4195 https://www.mathnet.ru/eng/znsl/v126/p77
|
Statistics & downloads: |
Abstract page: | 143 | Full-text PDF : | 77 |
|