Let Ω ⊂⊂ C be a domain with smooth boundary, whose Bergman projection B maps the Sobolev space H1(Ω) (continuously) into H2(Ω). We establish two smoothing results: (i) the full Sobolev norm ‖Bf‖k2 is controlled by L derivatives of f taken along a single, distinguished direction (of order ≤ k1), and (ii) the projection of a conjugate holomorphic function in L(Ω) is automatically in H2(Ω). There ...

A general technique is given for constructing new Markov processes from existing ones. The new process and its state space are both projective limits of sequences built by an iterative scheme. The space at each stage in the scheme is obtained by taking disjoint copies of the space at the previous stage and quotienting to identify certain distinguished points. Away from the distinguished points,...

In the framework of collection and determination of coastal sand dune plants of S Caspian Sea in Gilan and Mazandaran provinces (N Iran), a new species of the family Poaceae,Cenchrus longispinus (Hack.) Fernald, was determined in coastline of Babolsar, Mazandaran. Cenchrus longispinus is closely resembles C. spinifex and C. echinatus. From the latter it is best distinguished by the absence of a...