H² spaces of generalized half-planes

Realization of Hermitian Symmetric Spaces as Generalized Half-planes

Almost Everywhere Convergence of Poisson Integrals on Generalized Half-planes

Moving Porous Half-Planes

A shear flow motivated by relatively moving half-planes is theoretically studied in this paper. Either the mass influx or the mass efflux is allowed on the boundary. This flow is called the extended Stokes’ problems. Traditionally, exact solutions to the Stokes’ problems can be readily obtained by directly applying the integral transforms to the momentum equation and the associated boundary and...

Cracked piezoelectric layer bounded between two orthotropic half-planes

This paper deals with the behavior of anti-plane shear crack in a piezoelectric layer bounded between two orthotropic half-planes within the framework of linear electroelasticity. The crack surfaces are assumed to be permeable or impermeable. The analysis is based on the stress fields caused by Volterra-type screw dislocation in the medium. Fourier transforms are used to reduce the dislocation ...

Concentration of Area in Half-planes

For the standard class S of normalized univalent functions f analytic in the unit disk U , we consider a problem on the minimal area of the image f(U) concentrated in any given half-plane. This question is related to a well-known problem posed by A. W. Goodman in 1949 that regards minimizing area covered by analytic univalent functions under certain geometric constraints. An interesting aspect ...