4 papers
A multi-parameter Hardy type inequality
Eskil Rydhe
This note contains two simple observations. First, by the weak factorization of product (Ferguson--Lacey, Lacey--Terwilleger), we obtain a multi-parameter analogue of Hardy's…
On Laplace--Carleson embeddings, and -mapping properties of the Fourier transform
Eskil Rydhe
We investigate so-called Laplace--Carleson embeddings for large exponents. In particular, we extend some results by Jacob, Partington, and Pott. We also discuss some related result…
On -isometric semigroups, and -isometric cogenerators
Eskil Rydhe
It is known that a -semigroup of Hilbert space operators is -isometric if and only if its generator satisfies a certain condition, which we choose to call -skew-symmetry…
Cyclic -isometries, and Dirichlet type spaces
Eskil Rydhe
We consider cyclic -isometries on a complex separable Hilbert space. Such operators are characterized in terms of shifts on abstract spaces of weighted Dirichlet type. Our resul…