S. Munasinghe

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math.CV2015

$L^{p}$ Regularity of Weighted Szegö Projections on the Unit Disc

Samangi Munasinghe, Yunus E. Zeytuncu

We present a family of weights on the unit disc for which the corresponding weighted Szegö projection operators are irregular on $L^{p}$ spaces. We further investigate the dual space…

math.CV2015

Irregularity of the Szegö Projection on Bounded Pseudoconvex Domains in $C^{2}$

Samangi Munasinghe, Yunus E. Zeytuncu

We construct bounded pseudoconvex domains in $C^{2}$ for which the Szegö projection operators are unbounded on $L^{p}$ spaces of the boundary for all $p \neq = 2$ .

math.CV2006

Complex tangential flows and compactness of the $\partial ˉ$ - Neumann operator

Samangi Munasinghe, Emil J. Straube

We provide geometric conditions on the set of boundary points of infinite type of a smooth bounded pseudoconvex domain in $C^{n}$ which imply that the $\partial ˉ$ -Neu…

Lp Regularity of Weighted Szegö Projections on the Unit Disc

Irregularity of the Szegö Projection on Bounded Pseudoconvex Domains in C2

Complex tangential flows and compactness of the ∂ˉ- Neumann operator

$L^{p}$ Regularity of Weighted Szegö Projections on the Unit Disc

Irregularity of the Szegö Projection on Bounded Pseudoconvex Domains in $C^{2}$

Complex tangential flows and compactness of the $\partial ˉ$ - Neumann operator