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19922023
most citedThe Bohnenblust--Hille inequality for homogeneous polynomials is hypercontractive

204 citations · 749 across the 51 of their papers we have counts for

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15 papers · 1 filter

math.CV2020★ 4 cited

A converse to the Schwarz lemma for planar harmonic maps

Ole Fredrik Brevig, Joaquim Ortega-Cerdà, Kristian Seip

A sharp version of a recent inequality of Kovalev and Yang on the ratio of the and norms for certain polynomials is obtained. The inequality is applied to establ…

math.CV2012★ 1 cited

Zeros of functions in Hilbert spaces of Dirichlet series

Kristian Seip

The Dirichlet--Hardy space $\Ht$ consists of those Dirichlet series for which . It is shown that the Blaschke condition in the half-plane…

math.CV2011★ 15 cited

A lower bound in Nehari's theorem on the polydisc

Joaquim Ortega-Cerdá, Kristian Seip

By theorems of Ferguson and Lacey (d=2) and Lacey and Terwilleger (d>2), Nehari's theorem is known to hold on the polydisc D^d for d>1, i.e., if H_ψis a bounded Hankel form on H^2(…

math.CV2011

Interpolation and sampling in small Bergman spaces

Kristian Seip

Carleson measures and interpolating and sampling sequences for weighted Bergman spaces on the unit disk are described for weights that are radial and grow faster than the standard…

math.CV2009★ 29 cited

Discrete Hilbert transforms on sparse sequences

Yurii Belov, Tesfa Y. Mengestie, Kristian Seip

Weighted discrete Hilbert transforms from to a weighted space are studied, with 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 from to are considered, where and are disjoint…