Quasi-projection operators in weighted L spaces

A Note on Weighted Composition Operators on L^p-Spaces

Approximation by quasi-projection operators in Besov spaces

In this paper, we investigate approximation of quasi-projection operators in Besov spaces B p,q, μ > 0, 1 ≤ p, q ≤ ∞. Suppose I is a countable index set. Let (φi)i∈I be a family of functions in Lp(IR), and let (φ̃i)i∈I be a family of functions in Lp̃(IR), where 1/p+ 1/p̃ = 1. Let Q be the quasi-projection operator given by

Weighted composition operators on weighted Bergman spaces and weighted Bloch spaces

In this paper, we characterize the bonudedness and compactness of weighted composition operators from weighted Bergman spaces to weighted Bloch spaces. Also, we investigate weighted composition operators on weighted Bergman spaces and extend the obtained results in the unit ball of $mathbb{C}^n$.

Generalized Weighted Composition Operators From Logarithmic Bloch Type Spaces to $ n $'th Weighted Type Spaces

Let $ mathcal{H}(mathbb{D}) $ denote the space of analytic functions on the open unit disc $mathbb{D}$. For a weight $mu$ and a nonnegative integer $n$, the $n$'th weighted type space $ mathcal{W}_mu ^{(n)} $ is the space of all $fin mathcal{H}(mathbb{D}) $ such that $sup_{zin mathbb{D}}mu(z)left|f^{(n)}(z)right|begin{align*}left|f right|_{mathcal{W}_...

Spectrum of Convolution Dilation Operators on Weighted L Spaces

R c(x)dx = 1. For any sufficiently large number K the space Lp([−K,K]) of all Lp-functions with support in the interval [−K,K] is an invariant space of Wc,α. It is known that Wc,α restricted to Lp([−K,K]) is a compact operator with eigenvalues α−k, k = 0, 1, . . . , and spectrum {α−k : k = 1, 2, . . .} ∪ {0}, which are independent of c and K. This result is better understood in the context of w...