×

zbMATH — the first resource for mathematics

Functions of vanishing mean oscillation. (English) Zbl 0319.42006

MSC:
42A50 Conjugate functions, conjugate series, singular integrals
30D50 Blaschke products, etc. (MSC2000)
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] Ralph Philip Boas Jr., Entire functions, Academic Press Inc., New York, 1954. · Zbl 0058.30201
[2] Kevin Clancey and Wayne Cutrer, Subalgebras of Douglas algebras, Proc. Amer. Math. Soc. 40 (1973), 102 – 106. · Zbl 0276.46024
[3] Peter L. Duren, Smirnov domains and conjugate functions, J. Approximation Theory 5 (1972), 393 – 400. Collection of articles dedicated to J. L. Walsh on his 75th birthday, IV (Proc. Internat. Conf. Approximation Theory, Related Topics and their Applications, Univ. Maryland, College Park, Md., 1970). · Zbl 0235.30038
[4] C. Fefferman and E. M. Stein, \?^\? spaces of several variables, Acta Math. 129 (1972), no. 3-4, 137 – 193. · Zbl 0257.46078 · doi:10.1007/BF02392215 · doi.org
[5] Irving Glicksberg, Measures orthogonal to algebras and sets of antisymmetry, Trans. Amer. Math. Soc. 105 (1962), 415 – 435. · Zbl 0111.11801
[6] Henry Helson and Donald Sarason, Past and future, Math. Scand 21 (1967), 5 – 16 (1968). · Zbl 0241.60029 · doi:10.7146/math.scand.a-10840 · doi.org
[7] Kenneth Hoffman, Banach spaces of analytic functions, Prentice-Hall Series in Modern Analysis, Prentice-Hall, Inc., Englewood Cliffs, N. J., 1962. · Zbl 0734.46033
[8] Richard Hunt, Benjamin Muckenhoupt, and Richard Wheeden, Weighted norm inequalities for the conjugate function and Hilbert transform, Trans. Amer. Math. Soc. 176 (1973), 227 – 251. · Zbl 0262.44004
[9] I. A. Ibragimov, On the spectrum of stationary Gaussian sequences satisfying a strong mixing condition. I. Necessary conditions, Teor. Verojatnost. i Primenen 10 (1965), 95 – 116 (Russian, with English summary).
[10] F. John and L. Nirenberg, On functions of bounded mean oscillation, Comm. Pure Appl. Math. 14 (1961), 415 – 426. · Zbl 0102.04302 · doi:10.1002/cpa.3160140317 · doi.org
[11] Yitzhak Katznelson, An introduction to harmonic analysis, John Wiley & Sons, Inc., New York-London-Sydney, 1968. · Zbl 0352.43001
[12] Donald Sarason, An addendum to: ”Past and future” (Math. Scand. 21 (1967), 5 – 16 (1968)) by H. Helson and D. Sarason, Math. Scand. 30 (1972), 62 – 64.
[13] Donald Sarason, On products of Toeplitz operators, Acta Sci. Math. (Szeged) 35 (1973), 7 – 12. · Zbl 0255.47041
[14] Donald Sarason, Algebras of functions on the unit circle, Bull. Amer. Math. Soc. 79 (1973), 286 – 299. · Zbl 0257.46079
[15] David A. Stegenga, Bounded Toeplitz operators on \?\textonesuperior and applications of the duality between \?\textonesuperior and the functions of bounded mean oscillation, Amer. J. Math. 98 (1976), no. 3, 573 – 589. · Zbl 0335.47018 · doi:10.2307/2373807 · doi.org
[16] A. M. Yaglom, Stationary Gaussian processes satisfying the strong mixing condition and best predictable functionals, Proc. Internat. Res. Sem., Statist. Lab., Univ. California, Berkeley, Calif., 1963, Springer-Verlag, New York, 1965, pp. 241 – 252.
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.