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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb. (N.S.), 1973 Volume 90(132), Number 4, Pages 558–591 (Mi sm3067)

This article is cited in 12 papers

Use of $(p,l)$-capacity in problems of the theory of exceptional sets

V. G. Maz'ya, V. P. Havin


Abstract: We consider exceptional sets occurring in the solution of problems of uniqueness and approximation of analytic functions, as well as in problems of convergence of Fourier series and of removal of singularities of analytic and polyharmonic functions. In the formulation of the theorems the smallness of exceptional sets is characterized by a special set function, the so-called $(p,l)$-capacity.
Bibliography: 36 titles.

UDC: 519.56

MSC: Primary 31B15; Secondary 30A82, 30A72, 42A20, 30A14

Received: 16.06.1972


 English version:
Mathematics of the USSR-Sbornik, 1973, 19:4, 547–580

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