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\(L_p\) approximation by analytic functions. (English) Zbl 0244.30037


MSC:

30E10 Approximation in the complex plane
30C85 Capacity and harmonic measure in the complex plane
31A15 Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions
30H05 Spaces of bounded analytic functions of one complex variable
Full Text: DOI

References:

[1] Brennan, J., Invariant subspaces and rational approximation, J. Functional Analysis, 7, 285-310 (1971) · Zbl 0214.37604
[2] Calderon, A. P.; Zygmund, A., On the existence of certain singular integrals, Acta Math., 88, 85-139 (1952) · Zbl 0047.10201
[3] Deny, J.; Lions, J. L., Les espaces du type de Beppo Levi, Ann. Inst. Fourier Grenoble, 5, 305-370 (1953-1954) · Zbl 0065.09903
[4] Fuglede, B., Quasi topology and fine topology, (Seminaire Brelot-Choquet-Deny 10e année (1965-1966)) · Zbl 0164.14002
[5] Havin, V. P., Approximation in the mean by analytic functions, Dokl. Akad. Nauk SSSR, 178, 1025-1028 (1968) · Zbl 0182.40201
[6] Morrey, C. B., Multiple Integrals in the Calculus of Variations (1966), Springer-Verlag: Springer-Verlag New York · Zbl 0142.38701
[7] Sinanjan, S. O., Mat. Sb. N.S., 69, 546-578 (1966) · Zbl 0146.29904
[8] Ziemer, W. P., Extremal length as a capacity, Michigan Math. J., 17, 117-128 (1970) · Zbl 0183.39104
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