Tesfa Y. Mengestie

most citedDiscrete Hilbert transforms on sparse sequences

29 citations · 45 across the 3 of their papers we have counts for

collaborators

3 papers

math.CV2011

Compact Carleson measures from sparse sequences

Tesfa Mengestie

In [1], Y. Belov, K. Seip, and the author studied the Carleson measures for certain spaces of analytic functions of which the de Branges spaces and the model subspaces of the Hardy…

math.CV2009★ 29 cited

Discrete Hilbert transforms on sparse sequences

Yurii Belov, Tesfa Y. Mengestie, Kristian Seip

Weighted discrete Hilbert transforms $(a_{n})_{n} \mapsto \sum_{n} a_{n} v_{n} / (z - γ_{n})$ from $ℓ_{v}^{2}$ to a weighted $L^{2}$ space are studied, with $Γ = (γ_{n})$ a sequence of distinct points in…

math.CV2009★ 16 cited

Unitary discrete Hilbert transforms

Yurii Belov, Tesfa Y. Mengestie, Kristian Seip

Weighted discrete Hilbert transforms $(a_{n})_{n} \mapsto (\sum_{n} a_{n} v_{n} / (λ_{j} - γ_{n}))_{j}$ from $ℓ_{v}^{2}$ to $ℓ_{w}^{2}$ are considered, where $Γ = (γ_{n})$ and $Λ = (λ_{j})$ are disjoint…