This book covers Toeplitz operators, Hankel operators, and composition operators on both
the Bergman space and the Hardy space. The setting is the unit disk and the main emphasis …

Let D be the open unit disk in C and dA the normalized area measure on D. For 1< p<+ co,
the analytic Besov space BP consists of analytic functionsfon D such that (1-Izl') f'(z) is in LP …

We will prove local and global Besov-type characterisations for the Bloch space and the little
Bloch space. As a special case we obtain that the Bloch space consists of those analytic …

1. Introduction. Let Bn be the open unit ball in Cn with normalized volume measure dv (z).
The Bergman space L'(B,) is the closed sub-space of L2 (Bn, dv) consisting of holomorphic …

We define an extended Cesàro operator Tg with holomorphic symbol g in the unit ball B of
Cn. For a large class of weights w we characterize those g for which Tg is bounded (or …

Let z=(z1,..., zn) and w=(w1,..., wn) be points in the complex vector space Cn. By〈 z, ω〉=∑
nk= 1 zk wk we denote the inner product of z and w,| z|=√〈 z, z〉, Un the unit polydisc in Cn …

In this paper, the following two inequalities are proved:\[\int _0^ 1 {{(1-r)}^{a|\alpha|+ b}}
M_p^ a (r, D^{\alpha} f) dr\leq K\int _0^ 1 {{(1-r)}^ b} M_p^ a (r, f) dr,\int _0^ 1 {{(1-r)}^ b} M_p …

Extended Bergman projections from Lebesgue classes onto all Besov spaces on the unit
ball are defined and characterized. Right inverses and adjoints of the projections share the …

We consider spaces of analytic functions on the unit ball B in $\doubc\sp {\rm n} $ that are
invariant under composition with automorphisms of the ball. We define the so called Mobius …

Let $ F_\gamma^ p $ be the Fock space of all holomorphic functions $ f $ in ${\mathbf C}^ n
$ with the Fock norm\[\| f\| _ {p,\gamma}=\left\{\int _ {\mathbf {C}^ n}\left| f (z) e^{-\frac …