A strengthening of a theorem of Marcinkiewicz

• Autorzy: Konstantin E. Tikhomirov
• Języki publikacji: EN

Abstrakty

EN

We consider a problem of intervals raised by I. Ya. Novikov in [Israel Math. Conf. Proc. 5 (1992), 290], which refines the well-known theorem of J. Marcinkiewicz concerning structure of closed sets [A. Zygmund, Trigonometric Series, Vol. I, Ch. IV, Theorem 2.1]. A positive solution to the problem for some specific cases is obtained. As a result, we strengthen the theorem of Marcinkiewicz for generalized Cantor sets.

Kategorie tematyczne

• 42A99: None of the above, but in this section
• 42A50: Conjugate functions, conjugate series, singular integrals

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2011
• Tom: 95
• Numer: 1
• Strony: 369-383

Daty

wydano

2011

Twórcy

autor

Konstantin E. Tikhomirov

• Department of Mechanics and Mathematics, Samara State University, Ak. Pavlov, 1, 443011, Samara, Russia

Identyfikatory

DOI

10.4064/bc95-0-23