Periodic $Lip^α$ functions with $Lip^β$ difference functions

• Autorzy: Tamás Keleti
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1998
• Tom: 76
• Numer: 1
• Strony: 99-103

Daty

wydano

1998

otrzymano

1997-02-25

poprawiono

1997-06-02

Twórcy

autor

Tamás Keleti

• Mathematical Institute of the Hungarian Academy of Sciences, P.O. Box 127, 1364 Budapest, Hungary

Bibliografia

• [1] M. Balcerzak, Z. Buczolich and M. Laczkovich, Lipschitz differences and Lipschitz functions, Colloq. Math. 72 (1997), 319-324.
• [2] N. K. Bary, Trigonometric Series, Moscow, 1961 (in Russian); English transl.: A Treatise on Trigonometric Series, Macmillan, New York, 1964.
• [3] Z. Bukovská, Thin sets in trigonometrical series and quasinormal convergence, Math. Slovaca 40 (1990), 53-62.
• [4] L. Bukovský, N. N. Kholshchevnikova and M. Repický, Thin sets of harmonic analysis and infinite combinatorics, Real Anal. Exchange 20 (1994-1995), 454-509.
• [5] S. Kahane, Antistable classes of thin sets in harmonic analysis, Illinois J. Math. 37 (1993), 186-223.
• [6] T. Keleti, Difference functions of periodic measurable functions, PhD thesis, Eötvös Loránd University, Budapest, 1996 (http://www.cs.elte.hu/phd_th/).
• [7] T. Keleti, Difference functions of periodic measurable functions, submitted.
• [8] S. G. Samko, A. A. Kilbas and O. I. Marichev, Fractional Integrals and Differentiations and Some Applications, Science and Technology, Minsk, 1987 (in Russian).
• [9] Z A. Zygmund, Trigonometric Series, Vols. I-II, Cambridge Univ. Press, 1959.