Titlebook: Complex Analysis; Articles dedicated t Joseph Hersch,Alfred Huber Book 1988 Birkhäuser Verlag Basel 1988 Complex analysis.Meromorphic funct

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Subharmonic Majorants and Some Applications,In this paper we shall briefly review the main facts referring to majorants (Perron envelopes) of special classes of functions, which are subharmonic in ., and describe some applications of the majorants.

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On Approximation by Rational Functions of Class L1,Let . = {..}, 0 ≤ |..|≤ |..|≤…, be a countably infinite set in the complex plane ℂ with no limit points in ℂ. We denote by .. the collection of functions .(.), analytic in ℂ., possessing finite .. norm,

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Defiance

978-3-7643-1958-8Birkhäuser Verlag Basel 1988

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Cross-ratios and Schwarzian Derivatives in Rn, have been favorably received. For some time I had hoped to improve on the results of the paper, but as years went by my research took a different direction, and it became implausible that I would add anything significant to the paper as it stands.

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Conformal Mappings onto Nonoverlapping Regions, = |.(0)| the . of . with respect to .. Roughly speaking, our problem is to find . functions . which map the disk conformally onto nonoverlapping regions .. whose union has prescribed transfinite diameter ., with the centers .. as far apart as possible and the inner radii |..| as large as possible. Here only . and . are specified in advance.

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On Wiener Conditions for minimally thin and rarefied Sets, sup .(.), . → ., . ∈ .. If . is non-positive on ∂. and sup..(.)/.. < ∞, it is known that.where the exceptional set . is minimally thin at infinity in . (cf. [5]) and the exceptional set . is rarefied at infinity in . (cf. [3]).