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

V. G. Maz'ya   ; V. P. Havin

Sbornik. Mathematics, Tome 19 (1973) no. 4, pp. 547-580

Résumé

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.

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