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                                       Details for article 26 of 164 found articles
 
 
  Boundary values of generalizations of Hρ functions in tubes
 
 
Title: Boundary values of generalizations of Hρ functions in tubes
Author: Carmichael, Richard D.
Appeared in: Complex variables and elliptic equations
Paging: Volume 8 (1987) nr. 1-2 pages 83-101
Year: 1987-04
Contents: In previous work we have defined and studied holomorphic functions in tubes [image omitted]  which generalize the Hardy Hρ(TB) spaces; the base B of the tube TB is a proper open subset of [image omitted] If B=C, an open convex cone in[image omitted]  and 1 < ρ ≤ 2, we have proved that our new functions have distributional boundary values in the strong topology of p as [image omitted] . In this paper we continue to study these new functions and extend the existence of boundary values to the cases 2 < ρ < ∞ We prove that our functions obtain boundary values in the strong topology of P as [image omitted] , where C is a polygonal cone or a regular cone, for the cases 2 < ρ < ∞.
Publisher: Taylor & Francis
Source file: Elektronische Wetenschappelijke Tijdschriften
 
 

                             Details for article 26 of 164 found articles
 
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