(M,K)-QUASI CLASS Q AND (M,K)-QUASI *CLASS Q COMPOSITION OPERATORS ON WEIGHTED HARDY SPACE

Fixed Point Theorems on Complete Quasi Metric Spaces Via C-class and A-Class Functions

In this paper, we present some fixed point theorems for single valued mappings on $K$-complete, $M$-complete and Symth complete quasi metric spaces. Here, for contractive condition, we consider some altering distance functions together with functions belonging to $C$-class and $A$-class. At the same time, we will consider two different type $M$ functions in contractive conditions because the qu...

Generalized composition operators on weighted Hardy spaces

QUASI-∗ STRUCTURE ON q-POINCARE ALGEBRAS

We use braided groups to introduce a theory of ∗-structures on general inhomogeneous quantum groups, which we formulate as quasi-∗ Hopf algebras. This allows the construction of the tensor product of unitary representations up to a quantum cocycle isomorphism, which is a novel feature of the inhomogeneous case. Examples include q-Poincaré quantum group enveloping algebras in R-matrix form appro...

PROPERTY (ω) AND QUASI-CLASS (A,k) OPERATORS

In this paper, we prove the following assertions: (i) If T is of quasiclass (A, k), then T is polaroid and reguloid; (ii) If T or T ∗ is an algebraically of quasi-class (A, k) operator, then Weyls theorem holds for f(T ) for every f ∈ Hol(σ(T )); (iii) If T ∗ is an algebraically of quasi-class (A, k) operator, then a-Weyls theorem holds for f(T ) for every f ∈ Hol(σ(T )); (iv) If T ∗ is algebra...

On a Class of Composition Operators on Bergman Space

Let D= {z ∈ C : |z| < 1} be the open unit disk in the complex plane C. Let A2(D) be the space of analytic functions on D square integrable with respect to the measure dA(z) = (1/π)dx dy. Given a ∈D and f any measurable function on D, we define the function Ca f by Ca f (z) = f (φa(z)), where φa ∈ Aut(D). The map Ca is a composition operator on L2(D,dA) and A2(D) for all a ∈D. Let (A2(D)) be the...