@inbook{be46c2ac138748c5b3a5c0300bb4c424,
title = "Description of the range of potentials, and hypersingular integrals",
abstract = "In this chapter we give a complete characterization of the range Iα[Lp(.)(ℝn)] in terms of the convergence of hypersingular integrals of order α. The proof is based, in particular, on the results on denseness in Lp(.)(ℝn) of Schwartz functions orthogonal to polynomials, and the inversion of the Riesz potential operator by means of hypersingular integrals.",
keywords = "Convolution operator, Fourier multiplier, Fractional derivative, Lizorkin space, Variable exponent",
author = "Vakhtang Kokilashvili and Alexander Meskhi and Humberto Rafeiro and Stefan Samko",
note = "Publisher Copyright: {\textcopyright} Springer International Publishing Switzerland 2016.",
year = "2016",
doi = "10.1007/978-3-319-21015-5_7",
language = "English",
series = "Operator Theory: Advances and Applications",
publisher = "Springer International Publishing",
pages = "395--438",
booktitle = "Operator Theory",
}