7 citations · 11 across the 12 of their papers we have counts for
13 papers
Balanced measures, sparse domination and complexity-dependent weight classes
José M. Conde-Alonso, Jill Pipher, Nathan A. Wagner
We study sparse domination for operators defined with respect to an atomic filtration on a space equipped with a general measure . In the case of Haar shifts, -boundedness…
The Commutator of the Bergman Projection on Strongly Pseudoconvex Domains with Minimal Smoothness
Bingyang Hu, Zhenghui Huo, Loredana Lanzani +2
Consider a bounded, strongly pseudoconvex domain with minimal smoothness (namely, the class ) and let be a locally integrable function on . We ch…
Some Results for the Szegő and Bergman Projections on Planar Domains
Nathan A. Wagner
The purpose of this note is to prove some boundedness/compactness results of a harmonic analysis flavor for the Bergman and Szegő projections on certain classes of planar domains u…
Riesz-Kolmogorov type compactness criteria in function spaces with applications
Mishko Mitkovski, Cody B. Stockdale, Nathan A. Wagner +1
We present forms of the classical Riesz-Kolmogorov theorem for compactness that are applicable in a wide variety of settings. In particular, our theorems apply to classify the prec…
Dominating Sets in Bergman Spaces on Strongly Pseudoconvex Domains
Walton Green, Nathan Wagner
We obtain local estimates, also called propagation of smallness or Remez-type inequalities, for analytic functions in several variables. Using Carleman estimates, we obtain a three…
Weighted theory of Toeplitz operators on the Bergman space
Cody B. Stockdale, Nathan A. Wagner
We study the weighted compactness and boundedness properties of Toeplitz operators on the Bergman space with respect to Békollè-Bonami type weights. Let denote the Toeplitz o…
Regularity of Toeplitz Operators on Generalized Hartogs Triangles
Meijke Balay, Trent Neutgens, Nick Rosen +2
We obtain estimates for Toeplitz operators on the generalized Hartogs triangles for two classes of positive r…
Weighted endpoint bounds for the Bergman and Cauchy-Szegő projections on domains with near minimal smoothness
Cody B. Stockdale, Nathan A. Wagner
We study the Bergman projection, , and the Cauchy-Szegő projection, , on bounded domains with near minimal smoothness. We prove that has the…
Weighted Estimates for the Bergman and Szegő Projections on Strongly Pseudoconvex Domains with Near Minimal Smoothness
Nathan A. Wagner, Brett D. Wick
We prove the weighted regularity of the ordinary Bergman and Cauchy-Szegő projections on strongly pseudoconvex domains in with near minimal smoothness for…
A Békollè-Bonami Class of Weights for Certain Pseudoconvex Domains
Zhenghui Huo, Nathan A. Wagner, Brett D. Wick
We prove the weighted regularity of the ordinary Bergman projection on certain pseudoconvex domains where the weight belongs to an appropriate generalization of the Békollè-B…
Bekollé-Bonami estimates on some pseudoconvex domains
Zhenghui Huo, Nathan A. Wagner, Brett D. Wick
We establish a weighted norm estimate for the Bergman projection for a class of pseudoconvex domains. We obtain an upper bound for the weighted norm when the domain is,…
A Functional Decomposition of Finite Bandwidth Reproducing Kernel Hilbert Spaces
Gregory T. Adams, Nathan A. Wagner
In this work, we consider "finite bandwidth" reproducing kernel Hilbert spaces which have orthonormal bases of the form , wh…
Existence of Some Signed Magic Arrays
Abdollah Khodkar, Christian Schulz, Nathan Wagner
We consider the notion of a signed magic array, which is an rectangular array with the same number of filled cells in each row and the same number of filled cells…