On multiplicative inequalities of Hardy-Littlewood-Polya type for analytic functions of one and two complex variables
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Babenko V.F., Korneichuk N.P., Kofanov V.A., Pichugov S.A. Inequalities for derivatives and their applications, Naukova dumka, Kyiv, 2003; 590 p. (in Russian)
Berdnikova I.V., Rafalson S.Z. "Some inequalities between norms of function and its derivatives in integral metrics", Izv. vyssh. ucheb. zaved., 1985; pp. 3-6. (in Russian)
Vakarchuk S.B. "On inequalities of Kolmogorov type for certain Banach spaces of analytic functions", Some problems of analysis and differential topology: Sb. nauchn. tr., In-t matematiki AN Ukr.SSR, 1988; pp. 4-7. (in Russian)
Vakarchuk M.B. "On inequalities of Kolmogorov type for some Banach spaces of functions that are analytic in bidisk", Approx. Theor. and Comput. Math. Problems: Proc. Int. Conf., Dnipropetrovsk, 1993; p. 35. (in Russian)
Vakarchuk M.B. Some problems of approximation of functions in the complex plane: Autoref. diss. for cand.phys.-math.sc., Dnipropetrovsk, 1995; 20 p. (in Ukrainian)
Gofman K. Banach spaces of analytic functions, 1963; 312 p. (in Russian)
Hardy G.H., Littlewood J.E., Polya G. Inequalities, GIIL, Moscow, 1948; 456 p. (in Russian)
Duren P.L. Theory of $$$H_p$$$ spaces, Acad. Press, 1970; 192 p.
Zygmund A. "On the boundary values of functions of several complex variables", Fund. Math., 1949; 36: pp. 207-235. doi:10.4064/fm-36-1-207-235
DOI: https://doi.org/10.15421/241009
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