This revised and extended edition of a well-established monograph in function theory
contains a study on various function classes on the disc, a number of new results and new or …

For functions f in Dirichlet-type spaces D_ α, we study how to determine constructively
optimal polynomials pn that minimize\left ‖ pf-1\right ‖ _ α among all polynomials p of …

A method is described to count simple diagonal walks on Z 2 with a fixed starting point and
endpoint on one of the axes and a fixed winding angle around the origin. The method …

If U is a C∞ function with compact support in the plane, we let u be its restriction to the unit
circle S, and denote by U i, U e the harmonic extensions of u respectively in the interior and …

Solving continuous problems on digital computers gives generally only approximations of
the continuous solutions. It is therefore crucial that the error between the continuous solution …

We introduce a large family of reproducing kernel Hilbert spaces H ⊂ Hol (D) H⊂ Hol (D),
which include the classical Dirichlet-type spaces D _ α D α, by requiring normalized …

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Function spaces related to the Dirichlet space Page 1 J. London Math. Soc. (2) 83 (2011) 1–18
Cо2010 London Mathematical Society doi:10.1112/jlms/jdq053 Function spaces related to the …

Suppose H is a finite dimensional reproducing kernel Hilbert space of functions on X. If H
has the complete Pick property then there is an isometric map, Φ, from X, with the metric …

We prove several results about composition operators on the Dirichlet space D⁎. For every
compact set K⊆∂ D of logarithmic capacity CapK= 0, there exists a Schur function φ both in …