Isomorphism of some anisotropic Besov and sequence spaces

• Autorzy: A. Kamont
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 41A63: Multidimensional problems (should also be assigned at least one other classification number in this section)
• 41A15: Spline approximation

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1994
• Tom: 110
• Numer: 2
• Strony: 169-189

Daty

wydano

1994

otrzymano

1993-10-15

Twórcy

autor

A. Kamont

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

Bibliografia

• [1] Z. Ciesielski, Properties of the orthonormal Franklin system II, Studia Math. 27 (1966), 289-323.
• [2] Z. Ciesielski, Constructive function theory and spline systems, ibid. 53 (1975), 277-302.
• [3] 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.
• [4] Z. Ciesielski and T. Figiel, Spline bases in classical function spaces on compact $C^∞$ manifolds, Part I, ibid. 76 (1983), 1-58.
• [5] Z. Ciesielski and T. Figiel, Spline bases in classical function spaces on compact $C^∞$ manifolds, Part II, ibid., 95-136.
• [6] Z. Ciesielski, G. Kerkyacharian et B. Roynette, Quelques espaces fonctionnels associés à des processus gaussiens, ibid. 107 (1993), 171-204.
• [7] 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.
• [8] S. Ropela, Spline bases in Besov spaces, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 24 (1976), 319-325.