A Primer on the Dirichlet Space (Cambridge Tracts in - download pdf or read online

By Omar El-Fallah,Karim Kellay,Javad Mashreghi,Thomas Ransford

The Dirichlet house is likely one of the 3 primary Hilbert areas of holomorphic capabilities at the unit disk. It boasts a wealthy and lovely idea, but while is still a resource of demanding open difficulties and a subject matter of energetic mathematical study. This ebook is the 1st systematic account of the Dirichlet house, assembling effects formerly in simple terms present in scattered examine articles, and enhancing upon the various proofs. themes taken care of comprise: the Douglas and Carleson formulation for the Dirichlet crucial, reproducing kernels, boundary behaviour and means, 0 units and specialty units, multipliers, interpolation, Carleson measures, composition operators, neighborhood Dirichlet areas, shift-invariant subspaces, and cyclicity. particular gains comprise a self-contained remedy of potential, together with the strong-type inequality. The booklet should be priceless to researchers in functionality concept, and with over a hundred routines it's also appropriate for self-study by way of graduate students.

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A Primer on the Dirichlet Space (Cambridge Tracts in Mathematics) by Omar El-Fallah,Karim Kellay,Javad Mashreghi,Thomas Ransford

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