On Some Weighted Hardy Type Classes of One-Parametric Holomorphic Functions. II. Partial Volterra Operators in Parameter

• Published in: Journal of mathematical analysis and applications Vol. 222; no. 2; pp. 374 - 396
• Main Author: Mikhailov, S.E
• Format: Journal Article
• Language: English
• Published: San Diego, CA Elsevier Inc 15.06.1998; Elsevier
• Subjects: Exact sciences and technology; Integral equations; Mathematical analysis; Mathematics; Operator theory; Sciences and techniques of general use; Several complex variables and analytic spaces; Holomorphic function; Convolution; Resolvent; Volterra integral equations; Complex variable function; Mellin transformation

Some classes of partial Volterra operators acting (with respect to a real variable) on a function of one complex and one real variable are explored. The case when the operator kernels depend additionally on a complex parameter is also considered. It is proved that Volterra operators from these class...