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Approximation of harmonic functions. (English) Zbl 0417.31005


MSC:

31B05 Harmonic, subharmonic, superharmonic functions in higher dimensions
41A30 Approximation by other special function classes
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References:

[1] [1] , Interpolation by bounded analytic functions and the Corona problem, Ann. Math., 76 (1962), 547-559. · Zbl 0112.29702
[2] [2] , The Corona Problem, in Lecture Notes in Mathematics, vol 118, Springer Verlag, Berlin, 1969. · Zbl 0192.16801
[3] [3] , Weighted norm inequalities for the Lusin area integral and the non tangential maximal functions for functions harmonic in a Lipschitz domain, to appear in Studia Math. · Zbl 0449.31002
[4] [4] and , Hp-spaces of several variables, Acta Math., 129 (1972), 137-193. · Zbl 0257.46078
[5] [5] , to appear.
[6] [6] and , Integral inequalities of Poincaré and Wirtinger type for BV functions, Amer. J. of Math., 99 (1977), 1345-1360. · Zbl 0416.46025
[7] [7] , The radial variation of analytic functions, Duke Math. J., 22 (1955), 235-242. · Zbl 0064.31105
[8] [8] , Singular integrals and differentiability properties of functions, Princeton Univ. Press, Princeton, New Jersey, 1970. · Zbl 0207.13501
[9] [9] , BMO functions and the \(ATT\)-equation, Pacific J. Math., 71 (1977), 221-273. · Zbl 0371.35035
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