Tytuł artykułu
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Abstrakty
We study the problem of consistent and homogeneous colourings for increasing families of dyadic intervals. We determine when this problem can be solved and when it cannot.
Wydawca
Rocznik
Tom
Strony
101--115
Opis fizyczny
Bibliogr. 12 poz.
Twórcy
autor
- Institute of Mathematics Polish Academy of Sciences Wita Stwosza 57 80-952 Gdańsk, Poland
autor
- Department of Analysis J. Kepler University A-4040 Linz, Austria
Bibliografia
- [1] T. Figiel, On equivalence of some bases to the Haar system in spaces of vector-valued functions, Bull. Polish Acad. Sci. Math. 36 (1988), 119-131.
- [2] T. Figiel, Singular integral operators: a martingale approach, in: Geometry of Banach Spaces (Strobl, 1989), London Math. Soc. Lecture Note Ser. 158, Cambridge Univ. Press, Cambridge, 1990, 95-110.
- [3] J. B. Garnett, Bounded Analytic Functions, Pure Appl. Math. 96, Academic Press, New York, 1981.
- [4] P. W. Jones, Carleson measures and the Fefferman-Stein decomposition of BMO(R), Ann. of Math. (2) 111 (1980), 197-208.
- [5] P. W. Jones, BMO and the Banach space approximation problem, Amer. J. Math. 107 (1985), 853-893.
- [6] A. Kamont and P. F. X. Müller, Rearrangements with supporting trees, isomorphisms and shift operators, Math. Z. 274 (2013), 57-83.
- [7] J. Lee, P. F. X. Müller and S. Müller, Compensated compactness, separately convex functions and interpolatory estimates between Riesz transforms and Haar projections, Comm. Partial Differential Equations 36 (2011), 547-601.
- [8] J. Lindenstrauss and L. Tzafriri, Classical Banach Spaces. II. Function Spaces, Ergeb. Math. Grenzgeb. 97, Springer, Berlin, 1979.
- [9] P. F. X. Müller, Rearrangements of the Haar system that preserve BMO, Proc. London Math. Soc. (3) 75 (1997), 600-618.
- [10] P. F. X. Müller, Isomorphisms between H1 Spaces, IMPAN Monogr. Mat. (N.S.) 66, Birkhäuser, Basel, 2005.
- [11] K. Smela, Continuous rearrangements of the Haar system in Hp for 0 < p < 1, Studia Math. 189 (2008), 189-199.
- [12] E. M. Stein, Topics in Harmonic Analysis Related to the Littlewood-Paley Theory, Ann. of Math. Stud. 63, Princeton Univ. Press, Princeton, NJ, and Univ. of Tokyo Press, Tokyo, 1970.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-da968efd-ebd4-4ccd-b5ea-b82263941b33