Title: Weighted ∂-Integral Representations of C¹-Functions in C<sup>n</sup>.
Authors: Karapetyan, Arman H.
Abstract: For C¹-functions f, given in the complex space Cn, integral representations of the form f = P(f) - T(∂f) are obtained. Here, P is the orthogonal projector of the space L²{Cn; e-σ|z|ρ |z|γdm(z)} onto its subspace of entire functions and the integral operator T appears by means of explicitly constructed kernel Φ which is investigated in detail.
Subjects: INTEGRAL representations; C-functions; COMPLEX numbers; ORTHOGRAPHIC projection; INTEGRAL functions; INTEGRAL operators; KERNEL functions
Publication: Journal of Function Spaces & Applications, 2012, p1
ISSN: 0972-6802
Publication type: Academic Journal
DOI: 10.1155/2012/265092

Weighted ∂-Integral Representations of C¹-Functions in C<sup>n</sup>.

Karapetyan, Arman H.