By Boris Nikolaevič Apanasov (auth.), Julian Ławrynowicz (eds.)

ISBN-10: 3540127127

ISBN-13: 9783540127123

ISBN-10: 3540386971

ISBN-13: 9783540386971

**Read or Download Analytic Functions Błażejewko 1982: Proceedings of a Conference held in Błażejewko, Poland, August 19–27, 1982 PDF**

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**Extra resources for Analytic Functions Błażejewko 1982: Proceedings of a Conference held in Błażejewko, Poland, August 19–27, 1982**

**Sample text**

Operator-valued Pick's conditions and holomorphicity, Pacific J. Math. 98 (1982), 295-311. : Monotone MatriX Functions and Analytic Continuation, SpringerVerlag, New York, 1974. : On quadratic and bilinear forms in function theory, Proc. London Math. Soc. (3) 44 (1982), 554-576. : 527-531. Pick's conditions and analyticity, Pacific J. Math. A. ABOUT THE EQUALITY BETWEEN THE p-MODULE AND THE p-CAPACITY IN an Petru Caraman .. ~w, Contents Introduction ,. p-module and p-~apa~i ty' i~ the ~a;e' of ;p~n' s~t; • D~ n ' 2.

E(r ,r ) = lXir1

Next, by Theorem 1 and 2 in Fuglede's paper [10], r 41 About the Equality between the p-Module and the p-Capacity in M p r :;; 0 1: M r m=1 p m and =0 n R whence Mr":;;Mr:;;Mr"+Mr =Mr" p p p po p' 1-1 r". p Clearly, account (9), Mpr":;; M;r" , but Mr Mp r" • p Hence Since so that, taking into Pm E F* (r ") M r" = M* r " • p p r "e r 1 ' we have In order to prove the opposite inequality, let V-y 1 E r 1 ' 1 ;;; there is an arc y" Y1 II E r" such that where p EF(r ) 1 Then, Hence J pds :;; J pds < 00.

### Analytic Functions Błażejewko 1982: Proceedings of a Conference held in Błażejewko, Poland, August 19–27, 1982 by Boris Nikolaevič Apanasov (auth.), Julian Ławrynowicz (eds.)

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