Mapping properties of maximal operators
Mappings of positive integers and subspaces of m
Matrix transformations and generators of analytic semigroups.
Matrix transformations between the sequence space Bv^p and certain bk spaces
Matrix transformations involving analytic sequence spaces.
Matrix transformations involving analytic sequence spaces (Errata).
Matrix transformations on nuclear Köthe spaces
Measure of noncompactness of linear operators between spaces of sequences that are summable or bounded
In this paper we investigate linear operators between arbitrary BK spaces and spaces of sequences that are summable or bounded. We give necessary and sufficient conditions for infinite matrices to map into . Further, the Hausdorff measure of noncompactness is applied to give necessary and sufficient conditions for to be a compact operator.
Measure of noncompactness of operators and matrices on the spaces and .
Multipliers and Wiener-Hopf operators on weighted L p spaces
We study multipliers M (bounded operators commuting with translations) on weighted spaces L ω p (ℝ), and establish the existence of a symbol µM for M, and some spectral results for translations S t and multipliers. We also study operators T on the weighted space L ω p (ℝ+) commuting either with the right translations S t , t ∈ ℝ+, or left translations P +S −t , t ∈ ℝ+, and establish the existence of a symbol µ of T. We characterize completely the spectrum σ(S t ) of the operator S t proving that...
Multipliers of mixed-norm sequence spaces and measures of noncompactness.
Multipliers of spaces of derivatives
For subspaces, and , of the space, , of all derivatives denotes the set of all such that for all . Subspaces of are defined depending on a parameter . In Section 6, is determined for each of these subspaces and in Section 7, is found for and any of these subspaces. In Section 3, is determined for other spaces of functions on related to continuity and higher order differentiation.
Multipliers of weighted spaces