Аннотация:
A description of the closure in the Bloch norm of the Bloch functions that are in a Hardy space is given. The result uses the classical estimates for the Lusin area function.
Ключевые слова:
Bloch norm, bounded mean oscillation, Lusin area function.
Образец цитирования:
Nacho Monreal Galán, Artur Nicolau, “The closure of the Hardy space in the Bloch norm”, Алгебра и анализ, 22:1 (2010), 75–81; St. Petersburg Math. J., 22:1 (2011), 55–59
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\paper The closure of the Hardy space in the Bloch norm
\jour Алгебра и анализ
\yr 2010
\vol 22
\issue 1
\pages 75--81
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\jour St. Petersburg Math. J.
\yr 2011
\vol 22
\issue 1
\pages 55--59
\crossref{https://doi.org/10.1090/S1061-0022-2010-01132-4}
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Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/aa1171
https://www.mathnet.ru/rus/aa/v22/i1/p75
Эта публикация цитируется в следующих 25 статьяx:
Shanli Ye, Zhihui Zhou, “Closure of Analytic Functions of the Bounded Mean Oscillation in Logarithmic Bloch Spaces”, Acta Math Sci, 43:1 (2023), 43
Zhihui Zhou, “Closure in logarithmic Hardy-Bloch norm of some analytic function spaces”, Journal of Mathematical Analysis and Applications, 518:2 (2023), 126712
Jiale Chen, “Closures of Holomorphic Tent Spaces in Weighted Bloch Spaces”, Complex Anal. Oper. Theory, 17:6 (2023)
Shangjing Hao, Liu Yang, “A new characterization of the closure of Dirichlet type spaces Ds in Bloch spaces and interpolating Blaschke product”, Filomat, 36:4 (2022), 1329
Ruishen Qian, “Inner functions in QK
spaces and multipliers”, Mathematica Slovaca, 72:3 (2022), 623
Li D., Yang L., “Multipliers and Closures of Besov-Type Spaces in the Bloch Space”, Filomat, 35:2 (2021), 645–655
Bao G., Wulan H., “Q(K) Spaces: a Brief and Selective Survey”, Acta Math. Sci., 41:6 (2021), 2039–2054
Limani A., Malman B., “Generalized Cesaro Operators: Geometry of Spectra and Quasi-Nilpotency”, Int. Math. Res. Notices, 2021:23 (2021), 17695–17707
Zhang L., “Composition Operators and Closures of a Class of Mobius Invariant Function Spaces in the Bloch Space”, Math. Inequal. Appl., 24:1 (2021), 47–59
Bao G., Lou Z., Zhou X., “Closure in the Logarithmic Bloch Norm of Dirichlet Type Spaces”, Complex Anal. Oper. Theory, 15:4 (2021), 74
Qian R., Zhu X., “A New Characterization of Certain Dirichlet Type Spaces With Application”, Bull. Belg. Math. Soc.-Simon Steven, 28:1 (2021), 29–38
Gogus N.G., Yilmaz F., “Closures of Bergman-Besov Spaces in the Weighted Bloch Spaces on the Unit Ball”, Complex Anal. Oper. Theory, 15:6 (2021), 100
Nicolau A., Soler i Gibert O., “Approximation in the Zygmund Class”, J. Lond. Math. Soc.-Second Ser., 101:1 (2020), 226–246
Zhu X., “Composition Operators and Closures of Q(K)(P, Q)-Type Spaces in the Logarithmic Bloch Space”, Bull. Belg. Math. Soc.-Simon Steven, 27:1 (2020), 49–60
Liu B., Rattya J., “Closure of Bergman and Dirichlet Spaces in the Bloch Norm”, Ann. Acad. Sci. Fenn. Ser. A1-Math., 45 (2020), 771–783
Zhang L., “Composition Operators and Closures of Dirichlet Type Spaces in Logarithmic Bloch-Type Spaces”, J. Math. Inequal., 14:4 (2020), 1123–1134
Bao G., Gogus N.G., “On the Closures of Dirichlet Type Spaces in the Bloch Space”, Complex Anal. Oper. Theory, 13:1 (2019), 45–59
Qian R., Li S., “Composition Operators and Closures of Dirichlet Type Spaces D in Bloch Type Spaces”, Anal. Math., 45:1 (2019), 121–132
Galanopoulos P., Girela D., “The Closure of Dirichlet Spaces in the Bloch Space”, Ann. Acad. Sci. Fenn. Ser. A1-Math., 44 (2019), 91–101
Hu N., Zhu X., “Composition Operators and the Closure of Morrey Space in the Bloch Space”, J. Funct. space, 2019, 2834865