Ole Fredrik Brevig

activity

20132026

most citedThe multiplicative Hilbert matrix

57 citations · 299 across the 47 of their papers we have counts for

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Showing 2014Show all

4 papers · 1 filter

math.FA2014★ 57 cited

The multiplicative Hilbert matrix

Ole Fredrik Brevig, Karl-Mikael Perfekt, Kristian Seip +2

It is observed that the infinite matrix with entries $(mn lo g (mn))^{- 1}$ for $m, n \geq 2$ appears as the matrix of the integral operator $\mathbf{H}f(s):=\int_{1/2}^{+\infty…

math.FA2014★ 10 cited

Failure of Nehari's Theorem for Multiplicative Hankel Forms in Schatten Classes

Ole Fredrik Brevig, Karl-Mikael Perfekt

Ortega-Cerdà -- Seip demonstrated that there are bounded multiplicative Hankel forms which do not arise from bounded symbols. On the other hand, when such a form is in the Hilbert-…

math.FA2014★ 22 cited

Composition Operators on Bohr-Bergman Spaces of Dirichlet Series

Maxime Bailleul, Ole Fredrik Brevig

For $α \in R$ , let $D_{α}$ denote the scale of Hilbert spaces consisting of Dirichlet series $f (s) = \sum_{n = 1}^{\infty} a_{n} n^{- s}$ that satisfy $\sum_{n=1}^\infty |…

math.CV2014

Zeros of functions in Bergman-type Hilbert spaces of Dirichlet Series

Ole Fredrik Brevig

For a real number $α$ the Hilbert spaces $D_{α}$ consists of those Dirichlet series $\sum_{n = 1}^{\infty} a_{n} / n^{s}$ for which $\sum_{n = 1}^{\infty} ∣ a_{n} ∣^{2} / [d (n)]^{α} < \infty$ , wher…