8 citations · 14 across the 8 of their papers we have counts for
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A sharp discrete Sobolev inequality and left inverses of higher order differences
Raul Hindov, Shahaf Nitzan, Jan-Fredrik Olsen +1
For integers , we determine the best constants in the inequalities where i…
A sharp higher order Sobolev embedding
Raul Hindov, Shahaf Nitzan, Jan-Fredrik Olsen +1
We obtain sharp embeddings from the Sobolev space into the space and determine the extremal functions. This improves on a previous estimate of the sha…
On Dirichlet-type and -isometric shifts in finite rank de~Branges--Rovnyak spaces
Shuaibing Luo, Eskil Rydhe
This paper studies the function spaces by Richter and Aleman, and by the second author. It is known that the forward shift is bounded a…
Laplace-Carleson embeddings and infinity-norm admissibility
Birgit Jacob, Jonathan R. Partington, Sandra Pott +2
A full characterization of the boundedness of Laplace--Carleson embeddings on is provided, in terms of the Carleson intensity of the respective measure and of a suitable…
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…
On the characterization of Triebel--Lizorkin type spaces of analytic functions
Eskil Rydhe
We consider different characterizations of Triebel--Lizorkin type spaces of analytic functions on the unit disc. Even though our results appear in the folklore, detailed descriptio…
Two more counterexamples to the infinite dimensional Carleson embedding theorem
Eskil Rydhe
The existence of a counterexample to the infinite-dimensional Carleson embedding theorem has been established by Nazarov, Pisier, Treil, and Volberg. We provide an explicit constru…
Vectorial Hankel operators, Carleson embeddings, and notions of
Eskil Rydhe
We consider operators of the type , where denotes a fractional differentiation operator, and is a Hankel operator. For ,…