Add to ORKGAbstract The author gives a mild integral condition in a nondecreasing function K: [0,∞) → [0,∞), which is sufficient and the best possible to ensure that f is a Bloch function if and only if f belongs to QK, a Möbius-invariant space of functions analytic in the unit disk. Their contributions are slight improvements of known results, and the proofs presented here are independently developed. The corresponding results for meromorphic case are also given. Key words Areally mean q-valent, circumferentially mean q-valent, QK spaces 2000 MR Subject Classification 30D45, 30D50
Abstract. Let n be a positive integer, 1 ∈ H(D) and ϕ be an analytic self-map of D. The boundedness ...
ABSTRACT. We introduce a class of Möbius invariant spaces of analytic functions in the unit disk, c...
For 0 < p ≤ ∞ and 0 < q ≤ ∞, the space of Hardy-Bloch type B(p, q) consists of those function...
We give a criterion for q-valent analytic functions in the unit disk to belong to QK, a Möbius-invar...
We give a criterion for q-valent analytic functions in the unit disk to belong to QK, a Möbius-invar...
Abstract. For a nondecreasing function K: [0;1)! [0;1) and 0 < p <1, 2 < q <1, we introd...
AbstractThis paper characterizes the so-called Möbius invariant QK spaces in terms of Carleson-type ...
A Bloch function f(z) is an analytic function on the unit disc whose derivative grows no faster tha...
The Bloch space has been studied on the open unit disk of C and some homogeneous domains of Cn. We d...
AbstractWe introduce a new space, QT space, of analytic functions on the unit disk in terms of a non...
The present manuscript gives analytic characterizations and interesting technique that involves the ...
Abstract Suppose that ϕ is an analytic self-map of the unit disk Δ. We consider compactness of the c...
The space Q p consists of all holomorphic functions f on the unit disk for which the L^2 area integr...
Suppose that φ(z) is an analytic self-map of the unit disk Δ. We consider the boundedness of the com...
© 2017, Pleiades Publishing, Ltd.Let D be the unit disk centered at the origin in the complex plane....
Abstract. Let n be a positive integer, 1 ∈ H(D) and ϕ be an analytic self-map of D. The boundedness ...
ABSTRACT. We introduce a class of Möbius invariant spaces of analytic functions in the unit disk, c...
For 0 < p ≤ ∞ and 0 < q ≤ ∞, the space of Hardy-Bloch type B(p, q) consists of those function...
We give a criterion for q-valent analytic functions in the unit disk to belong to QK, a Möbius-invar...
We give a criterion for q-valent analytic functions in the unit disk to belong to QK, a Möbius-invar...
Abstract. For a nondecreasing function K: [0;1)! [0;1) and 0 < p <1, 2 < q <1, we introd...
AbstractThis paper characterizes the so-called Möbius invariant QK spaces in terms of Carleson-type ...
A Bloch function f(z) is an analytic function on the unit disc whose derivative grows no faster tha...
The Bloch space has been studied on the open unit disk of C and some homogeneous domains of Cn. We d...
AbstractWe introduce a new space, QT space, of analytic functions on the unit disk in terms of a non...
The present manuscript gives analytic characterizations and interesting technique that involves the ...
Abstract Suppose that ϕ is an analytic self-map of the unit disk Δ. We consider compactness of the c...
The space Q p consists of all holomorphic functions f on the unit disk for which the L^2 area integr...
Suppose that φ(z) is an analytic self-map of the unit disk Δ. We consider the boundedness of the com...
© 2017, Pleiades Publishing, Ltd.Let D be the unit disk centered at the origin in the complex plane....
Abstract. Let n be a positive integer, 1 ∈ H(D) and ϕ be an analytic self-map of D. The boundedness ...
ABSTRACT. We introduce a class of Möbius invariant spaces of analytic functions in the unit disk, c...
For 0 < p ≤ ∞ and 0 < q ≤ ∞, the space of Hardy-Bloch type B(p, q) consists of those function...