WEIGHTED FOURIER-LAPLACE TRANSFORMS OF ANALYTIC FUNCTIONALS ON THE DISK

Authors
NAPALKOV VV YULMUKHAMETOV RS
Citation
Vv. Napalkov et Rs. Yulmukhametov, WEIGHTED FOURIER-LAPLACE TRANSFORMS OF ANALYTIC FUNCTIONALS ON THE DISK, Sbornik. Mathematics, 77(2), 1994, pp. 385-390
Citations number
7
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Sbornik. Mathematics → ACNP
ISSN journal
10645616
Volume
77
Issue
2
Year of publication
1994
Pages
385 - 390
Database
ISI
SICI code
1064-5616(1994)77:2<385:WFTOAF>2.0.ZU;2-5
Abstract
A study is made of the question as to whether the space L2a(D, mu) has a norm of the form parallel-to f parallel-to nu = integral0infinity i ntegral0(2pi)\f(xe(itheta))\2 dnu(xe(itheta)) equivalent to the norm p arallel-to f parallel-to L2a(D, mu) =def parallel-to f parallel-to L2a (D, mu), where nu is a nonnegative Borel measure on C. Bibliography: 7 titles.