Gopal Datt

Composition operators on Lorentz spaces

Fredholm, injective, isometric and surjective composition operators on Lorentz spaces L(p, q ) are characterised in this paper.

WEIGHTED COMPOSITION OPERATORS ON LORENTZ SPACES

In this paper we characterize the boundedness, compactness and closedness of the range of the weighted composition operators on Lorentz spaces L(p, q), 1 < p ≤ ∞, 1 ≤ q ≤ ∞.

Some normality criteria

In this article we prove some normality criteria for a family of meromorphic functions which involves sharing of a non-zero value by certain differential monomials generated by the members of the family. These results generalizes some of the results of Schwick.

On a generalization of weighted slant Hankel operators

Abstract In this paper, the notion of kth-order weighted slant Hankel operators on the space L2(β), β = {βn}n ∈ 𝕫 being a sequence of positive numbers with β0 = 1, is introduced and some of its algebraic and spectral properties are also discussed. The study is further extended to its compression on the space H2(β).

Product of weighted Hankel and weighted Toeplitz operators

Abstract In this paper, we discuss some properties of the weighted Hankel operator Hψβ

WEIGHTED COMPOSITION OPERATORS ON ORLICZ-SOBOLEV SPACES

H_\psi ^\beta

On commutativity of weighted Hankel operators and their spectra

and describe the conditions on which the weighted Hankel operator Hψβ

Injective composition operators on Lorentz-Bochner spaces

H_\psi ^\beta

Operators on Weighted Lorentz–Karamata–Bochner Spaces

and weighted Toeplitz operator Tϕβ

Essentially generalized λ-slant Toeplitz operators

T_\phi ^\beta