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

ArticleOriginal scientific text

Title

Authors ¹

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

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