@conference{
author = "Carmichael, Richard D. and Pilipović, Stevan and Vindas, Jasson",
year = "2021",
abstract = "Banach space valued Hardy functions Hp, 0 < p ≤ ∞, are defined
with the functions having domain in tubes T C = Rn + iC ⊂ Cn; H2 functions with values
in Hilbert space are characterized as Fourier-Laplace transforms of functions which satisfy
a certain norm growth property. These H2 functions are shown to equal a Cauchy integral
when the base C of the tube T C is specialized. For certain Banach spaces and certain bases
C of the tube T C , all Hp functions, 1 ≤ p ≤ ∞, are shown to equal the Poisson integral of
Lp functions, have boundary values in Lp norm on the distinguished boundary Rn + i{0} of
the tube T C , and have pointwise growth properties. For H2 functions with values in Hilbert
space we show the existence of L2 boundary values on the topological boundary Rn + i ∂C
of the tube T C .",
publisher = "Beograd : Académie Serbe des sciences et des arts",
journal = "Bulletin T.CLIV de l’Académie serbe des sciences et des arts",
title = "Boundary values, integral transforms, and growth of vector valued Hardy functions",
pages = "115-129",
url = "https://hdl.handle.net/21.15107/rcub_dais_13286"
}
