14 citations · 19 across the 7 of their papers we have counts for
7 papers
Boundary value problems for holomorphic functions on Lipschitz planar domains
William Gryc, Loredana Lanzani, Jue Xiong +1
We study the equation subject to various boundary value conditions on bounded simply connected Lipschitz domains : for the Dirichlet problem with…
New Properties of Holomorphic Sobolev-Hardy Spaces
William Gryc, Loredana Lanzani, Jue Xiong +1
We give new characterizations of the optimal data space for the -Neumann boundary value problem for the operator associated to a bounded, Lipschitz doma…
Boundary Traces of Holomorphic Functions on the Unit Ball in
William E. Gryc
It is a classical theorem that if a function is integrable along the boundary of the unit circle, then the function is the nontangential limit of a holomorphic function on the open…
On Sharp Constants for Dual Segal--Bargmann Spaces
William E. Gryc, Todd Kemp
We study dilated holomorphic space of Gaussian measures over , denoted with variance scaling parameter . The duality relations $(\mat…
Duality in Segal-Bargmann Spaces
William E. Gryc, Todd Kemp
For , the Bargmann projection is the orthogonal projection from onto the holomorphic subspace , where is the standard Gaussian probabili…
On the Holonomy of the Coulomb Connection over Manifolds with Boundary
William E. Gryc
Narasimhan and Ramadas showed that the restricted holonomy group of the Coulomb connection is dense in the connected component of the identity of the gauge group when one considers…