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Differential operators for a scale of Poisson type kernels in the unit disc
Journal D'Analyse Mathematique, 2014 In this paper, we introduce a scale of differential operators which is shown to correspond canonically to a certain scale of solution kernels generalizing the classical Poisson kernel for the unit disc.
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Problem Books in Mathematics, 2019
If you are looking for a problem to captivate you, this chapter should meet your needs. While some problems from the “old” lists have been solved or partially resolved, there still is a treasure trove of problems for those willing to be bounded by the unit disc. Among them some interesting coefficient problems and some problems about symmetrisation are
W. Hayman, E. F. Lingham
semanticscholar +2 more sources
If you are looking for a problem to captivate you, this chapter should meet your needs. While some problems from the “old” lists have been solved or partially resolved, there still is a treasure trove of problems for those willing to be bounded by the unit disc. Among them some interesting coefficient problems and some problems about symmetrisation are
W. Hayman, E. F. Lingham
semanticscholar +2 more sources
Function Classes on the Unit Disc
, 2019The monograph contains a study on various function classes, a number of new results and new or easy proofs of old result (Fefferman-Stein theorem on subharmonic behavior, theorem on conjugate functions on Bergman spaces), which might be interesting for specialists, a full discussion on g-function (all p > 0), and a treatment of lacunary series with ...
M. Pavlovic
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On the Geometry of the Quaternionic Unit Disc
, 2011In the space ℍ of quaternions, the natural invariant geometry of the open unit disc ΔH, diffeomorphic to the open half-space H+ via a Cayleytype transformation, has been investigated extensively. This was accomplished by constructing, in a natural geometrical manner.
C. Bisi, G. Gentili
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On interval polynomials with no zeros in the unit disc
IEEE Transactions on Automatic Control, 1995We give a necessary condition for an interval polynomial to have no zeros in the closed unit disc. The condition is expressed in terms of the two first intervals. >
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Weighted holomorphic mixed norm spaces in the unit disc defined in terms of Fourier coefficients
Complex Variables and Elliptic Equations, 2021Following the ideas of recent research in Karapetyants and Samko [Mixed norm variable exponent Bergman space on the unit disc. Complex Var Elliptic Equ. 2016;61:1090–1106], we continue the study of new weighted spaces of holomorphic functions on the unit
A. Karapetyants, I. Smirnova
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Schwarz-type boundary value problems for the polyanalytic equation in the half unit disc
Complex Variables and Elliptic Equations, 2012Yu-Feng Wang
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On the Perimeter and Area of the Unit Disc
The American Mathematical Monthly, 2005longer holds. These geometries are homogeneous but not isotropic. In this article we survey some of the most basic results on the geometry of unit discs in two-dimensional normed spaces, while adding a few results and some new proofs of our own. These results answer simple questions about the perimeter of the unit disc, its area, and the relationships ...
Carlos Álvarez Paiva, Juan +1 more
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