A. E. Mamontov, “Integral representations and transforms of <nobr>$N$</nobr>-functions. II”, Sibirsk. Mat. Zh., 2006, Volume 47, Number 4,Pages <nobr>811

This article is cited in 4 papers

Integral representations and transforms of $N$-functions. II

A. E. Mamontov

M. A. Lavrent'ev Institute of Hydrodynamics

Abstract: We study the problem of reconstruction of a convolution type integral transform from its behavior for power functions. We solve some of the problems posed in Part I of the article.

Keywords: extrapolation of operators, Orlicz spaces, N-functions, Young functions, Mellin and Laplace transforms, convolution type integral transform.

UDC: 517.44, 517.5

Received: 08.12.2004