# Compactness of Composition Operators from the Bloch Space â„¬ to Q K Spaces

## Related Articles

- 3â€“Manifold Containing Separating Incompressible Surfaces of All Positive Genera. Ji Ming Ma; Rui Feng Qiu // Acta Mathematica Sinica;Dec2005, Vol. 21 Issue 6, p1315
In this paper, we shall prove that for any orientable 3â€“manifold M, there is a link L = K âˆª K 1 âˆª K 2 âˆª K 3 with four components in M, such that the complement of L, say M L , contains separating essential closed surfaces of all positive genera.

- THE SET OF CONTINUOUS PIECEWISE DIFFERENTIABLE FUNCTIONS. Sofronidis, Nikolaus Efstathiou // Real Analysis Exchange;2005/2006, Vol. 31 Issue 1, p13
The purpose of this article is to show that if - âˆž < Î± < Î² < âˆž, then the set PDÎ±Î² of piecewise differentiable functions in C([Î±, Î²],â„) is Ï€1Â¹-complete.

- The Structure Function and Distinguishable Models of Data. Rissanen, J. // Computer Journal;Nov2006, Vol. 49 Issue 6, p657
The article provides information on various useful complex models and their respective structure functions to be used in various mathematical models. It highlights various structure functions for mathematical operations and notes their different models including mixture model and normalized...

- On Maximal Injectivity. Wang, Ming; Zhao, Guo // Acta Mathematica Sinica;Dec2005, Vol. 21 Issue 6, p1451
A right Râ€“module E over a ring R is said to be maximally injective in case for any maximal right ideal m of R, every Râ€“homomorphism f : m â†’ E can be extended to an Râ€“homomorphism f' : R â†’ E. In this paper, we first construct an example to show that maximal...

- The Cremona group of the plane is compactly presented. Zimmermann, Susanna // Journal of the London Mathematical Society;Feb2016, Vol. 93 Issue 1, p25
This article shows that the Cremona group of the plane is compactly presented. To do this, we prove that it is a generalized amalgamated product of three of its algebraic subgroups (automorphisms of the plane and Hirzebruch surfaces) divided by one relation.

- Riccati Equation and Positivity of Operator Matrices. Fujii, Jun Ichi; Fujii, Masatoshi; Nakamoto, Ritsuo // Kyungpook Mathematical Journal;Dec2009, Vol. 49 Issue 4, p595
We show that for an algebraic Riccati equation X*B-1X - T* X - X*T = C, its solutions are given by X = W + BT for some solution W of X* B-1X = C + T* BT. To generalize this, we give an equivalent condition for ( W*BAW) â‰¥ 0 for given positive operators B and A, by which it can be regarded...

- NEW NOTIONS VIA * gp -CLOSED SETS. El-Maghrabi, A. I.; Al-Ahmadi, N. M. // Far East Journal of Mathematical Sciences;Nov2013, Vol. 82 Issue 1, p157
In this paper, we introduce and study the notion of a new class of functions, namely, star generalized precontinuous, star generalized preclosed and strongly star generalized preclosed functions.

- Neighborhoods of a class of analytic functions defined by using a differential equation. Altintas, Osman; Özkan, Öznur // AIP Conference Proceedings;Sep2012, Vol. 1479 Issue 1, p393
In this paper, we introduce the classes Tnp(Î»,A,B) and Knp(Î»,Î¼,m,A,B) and we apply to the (n,Î´)-neighborhoods of functions in the class Knp(Î»,Î¼,m,A,B).

- On quadruples of projectors connected by a linear relation. Yusenko, K. // Ukrainian Mathematical Journal;Sep2006, Vol. 58 Issue 9, p1462
We describe the set of Î³ âˆˆ â„ for which there exist quadruples of projectors P i for a fixed collection of numbers Î±i â„+, $$i = \overline {1,4} $$ , such that Î±1 P 1 + Î±2 P 2 + Î±3 P 3 + Î±3 P 4 = Î³ I.