Isomorphism of some anisotropic Besov and sequence spaces

A. Kamont

ArticleOriginal scientific text

Title

Isomorphism of some anisotropic Besov and sequence spaces

Authors ¹

Affiliations

Mathematical Institute, Polish Academy of Sciences, Gdańsk, Branch, Abrahama 18, 81-825 Sopot, Poland

Abstract

An isomorphism between some anisotropic Besov and sequence spaces is established, and the continuity of a Stieltjes-type integral operator, acting on some of these spaces, is proved.

Z. Ciesielski, Properties of the orthonormal Franklin system II, Studia Math. 27 (1966), 289-323.
Z. Ciesielski, Constructive function theory and spline systems, ibid. 53 (1975), 277-302.
Z. Ciesielski and J. Domsta, Construction of an orthonormal basis in $C^{m} (I^{d})$ and $W^{m}_p (I^{d})$ , ibid. 41 (1972), 211-224.
Z. Ciesielski and T. Figiel, Spline bases in classical function spaces on compact $C^{\infty}$ manifolds, Part I, ibid. 76 (1983), 1-58.
Z. Ciesielski and T. Figiel, Spline bases in classical function spaces on compact $C^{\infty}$ manifolds, Part II, ibid., 95-136.
Z. Ciesielski, G. Kerkyacharian et B. Roynette, Quelques espaces fonctionnels associés à des processus gaussiens, ibid. 107 (1993), 171-204.
A. Kamont, A note on the isomorphism of some anisotropic Besov-type function and sequence spaces, in: Proc. Conf. "Open Problems in Approximation Theory", Voneshta Voda, June 18-24, 1993, to appear.
S. Ropela, Spline bases in Besov spaces, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 24 (1976), 319-325.

Title

Isomorphism of some anisotropic Besov and sequence spaces

Affiliations

Abstract

Bibliography