×

M. Riesz’s theorem in the abstract Hardy space theory. (English) Zbl 0363.46050


MSC:

46J15 Banach algebras of differentiable or analytic functions, \(H^p\)-spaces
30D55 \(H^p\)-classes (MSC2000)
26D20 Other analytical inequalities
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] T. W.Gamelin, Uniform Algebras. Englewood Cliffs 1969. · Zbl 0213.40401
[2] I. I. Hirschman Jr. andR. Rochberg, Conjugate function theory in weak* Dirichlet algebras. J. Functional Analysis16, 359-371 (1974). · Zbl 0284.46034 · doi:10.1016/0022-1236(74)90055-X
[3] H.König, Theory of abstract Hardy spaces. Lectures Notes, Pasadena 1967.
[4] H. König, Zur abstrakten Theorie der analytischen Funktionen. Math. Z.88, 136-165 (1965). · Zbl 0132.09503 · doi:10.1007/BF01112096
[5] S. K. Pichorides, On the best values of the constants in the theorems of M. Riesz, A. Zygmund and Kolmogorov. Studia Math.44, 165-179 (1972). · Zbl 0238.42007
[6] S. K. Pichorides, Une propriété de la transformée de Hilbert. C. R. Acad. Sci. Paris280, Série A, 1197-1199 (1975). · Zbl 0301.44005
[7] K. Yabuta, On bounded functions in the abstract Hardy space theory II. Tôhoku Math. J.26, 513-533 (1974). · Zbl 0299.46051 · doi:10.2748/tmj/1178241075
[8] K.Yabuta, On the distributions of bounded functions in the abstract Hardy space theory and some of their applications. (To appear in Tôhoku Math. J.) · Zbl 0374.46043
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. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.