Blar i Institutt for matematiske fag på tidsskrift "Journal of Geometric Analysis"
Viser treff 1-12 av 12
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A Domain with Non-plurisubharmonic Squeezing Function
(Journal article; Peer reviewed, 2018)We construct a strictly pseudoconvex domain with smooth boundary whose squeezing function is not plurisubharmonic. -
A Parametric Version of Forstnerič’s Splitting Lemma
(Journal article; Peer reviewed, 2018)We construct solution operators to the \overline{\partial }-equation that depend continuously on the domain. This is applied to derive a parametric version of Forstnerič’s splitting lemma: If both the maps and the domains ... -
Convexity Properties of Harmonic Functions on Parameterized Families of Hypersurfaces
(Journal article; Peer reviewed, 2019)It is known that the L2L2-norms of a harmonic function over spheres satisfy some convexity inequality strongly linked to the Almgren’s frequency function. We examine the L2L2-norms of harmonic functions over a wide class ... -
An Example on s-H-Convexity in C2C2
(Peer reviewed; Journal article, 2020)We construct a bounded domain Ω in C2 with boundary of class C1,1 such that Ω¯¯¯¯ has a Stein neighborhood basis, but is nots-H-convex for any real number s≥1. -
Flat Bundles Over Some Compact Complex Manifolds
(Journal article; Peer reviewed, 2019)We construct examples of flat fiber bundles over the Hopf surface such that the total spaces have no pseudoconvex neighborhood basis, admit a complete Kähler metric, or are hyperconvex but have no nonconstant holomorphic ... -
Homogeneous Plurisubharmonic Polynomials in Higher Dimensions
(Peer reviewed; Journal article, 2021)We prove several results on homogeneous plurisubharmonic polynomials on Cn, n∈Z≥2. Said results are relevant to the problem of constructing local bumpings at boundary points of pseudoconvex domains of finite D’Angelo 1-type ... -
The Nehari problem for the Paley--Wiener space of a disc
(Peer reviewed; Journal article, 2023)There is a bounded Hankel operator on the Paley–Wiener space of a disc in R2 which does not arise from a bounded symbol. -
Notes on the Short Ck’s
(Journal article, 2022) -
On Newton Diagrams of Plurisubharmonic Polynomials
(Journal article; Peer reviewed, 2018)Each extreme edge of the Newton diagram of a plurisubharmonic polynomial on C2 gives rise to a plurisubharmonic polynomial. It is tempting to believe that the union of the extreme edges or the convex hull of said union ... -
On the Catlin Multitype of sums of squares domains
(Peer reviewed; Journal article, 2022)For a sum of squares domain of finite D’Angelo 1-type at the origin, we show that the polynomial model obtained from the computation of the Catlin multitype at the origin of such a domain is likewise a sum of squares domain. ... -
On the Catlin Multitype of Sums of Squares Domains
(Journal article; Peer reviewed, 2022)For a sum of squares domain of finite D’Angelo 1-type at the origin, we show that the polynomial model obtained from the computation of the Catlin multitype at the origin of such a domain is likewise a sum of squares domain. ... -
α -Modulation Spaces for Step Two Stratified Lie Groups
(Journal article; Peer reviewed, 2022)We define and investigate α-modulation spaces Ms,α p,q(G) associated to a step two stratified Lie group G with rational structure constants. This is an extension of the Euclidean α-modulation spaces Ms,α p,q(Rn) that act ...