A direct method for boundary integral equations on a contour with a peak.
A Hardy space related to the square root of the Poisson kernel
A real-valued Hardy space related to the square root of the Poisson kernel in the unit disc is defined. The space is shown to be strictly larger than its classical counterpart H¹(). A decreasing function is in if and only if the function is in the Orlicz space LloglogL(). In contrast to the case of H¹(), there is no such characterization for general positive functions: every Orlicz space strictly larger than L log L() contains positive functions which do not belong to , and no Orlicz space...
A note on a heat potential and the parabolic variation
A Poisson formula for harmonic projections
A problem related to the Hall effect in a semiconductor with an electrode of an arbitrary shape.
Area Nevanlinna type classes of analytic functions in the unit disk and related spaces
The survey collects many recent advances on area Nevanlinna type classes and related spaces of analytic functions in the unit disk concerning zero sets and factorization representations of these classes and discusses approaches, used in proofs of these results.