Dahlberg, Björn E. J. Approximation of harmonic functions. (English) Zbl 0417.31005 Ann. Inst. Fourier 30, No. 2, 97-107 (1980). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 19 Documents MSC: 31B05 Harmonic, subharmonic, superharmonic functions in higher dimensions 41A30 Approximation by other special function classes Keywords:approximation of harmonic functions; boundary values; functions of bounded variation PDFBibTeX XMLCite \textit{B. E. J. Dahlberg}, Ann. Inst. Fourier 30, No. 2, 97--107 (1980; Zbl 0417.31005) Full Text: DOI Numdam EuDML 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 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.