Elements of D'Lq (R) as boundary values of holomorphic functions

• Autorzy: Skórnik U.
• Języki publikacji: EN

Abstrakty

EN

In this paper we give a boundary value characterization of the space D'Lp(R) (see also [4]). Namely, we will show that every distribution that belongs to the space D'Lp(R) can be represented by analytic functions. We will also show that analytic functions fulfilling certain growth conditions have their boundary values in the space D'Lp (R). The characterization of holomorphic function spaces whose elements have boundary values in spaces of distributions and ultradistributions has a long history, see [2]-[6], [8] and [9].

Słowa kluczowe

EN

homogeneous function

PL

funkcja holomorficzna

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2000
• Tom: Vol. 33, nr 3
• Strony: 657--663
• Opis fizyczny: Bibliogr. 10 poz.

Twórcy

autor

Skórnik U.

• Institute of Mathematics Polish Academy of Sciences Bankowa 14/343 40-007 Katowice, Poland,