Displaying similar documents to “On the injectivity of the generalized Bers projection and its Fréchet derivative”

Solutions of Analytical Systems of Partial Differential Equations

Trenčevski, K. (1995)

Serdica Mathematical Journal

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In this paper are examined some classes of linear and non-linear analytical systems of partial differential equations. Compatibility conditions are found and if they are satisfied, the solutions are given as functional series in a neighborhood of a given point (x = 0).

On the angular limits of Bloch functions.

Joan J. Carmona, Julià Cufi, Christian Pommerenke (1988)

Publicacions Matemàtiques

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This paper contains a method to associate to each function f in the little Bloch space another function f* in the Bloch space in such way that f has a finite angular limit where f* is radially bounded. The idea of the method comes from the theory of lacunary series. An application to conformal mapping from the unit disc to asymptotically Jordan domains is given.

Some new Hardy spaces L ² H R q ( ² + × ² + ) (0 < q ≤ 1)

Dachun Yang (1994)

Studia Mathematica

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For 0 < q ≤ 1, the author introduces a new Hardy space L ² H q ( ² + × ² + ) on the product domain, and gives its generalized Lusin-area characterization. From this characterization, a φ-transform characterization in M. Frazier and B. Jawerth’s sense is deduced.