Add to ORKGWe prove the weighted $L^p$ regularity of the ordinary Bergman projection on certain pseudoconvex domains where the weight belongs to an appropriate generalization of the B\'{e}koll\`{e}-Bonami class. The main tools used are estimates on the Bergman kernel obtained by McNeal and B\'{e}koll\`{e}'s original approach of proving a good-lambda inequality.Comment: 24 page
This note is an announcement of the author's recent works [1, 2, 3] on Levi-flat real hypersurfaces,...
summary:We consider and solve extremal problems in various bounded weakly pseudoconvex domains in $\...
summary:We consider and solve extremal problems in various bounded weakly pseudoconvex domains in $\...
We establish a weighted $L^p$ norm estimate for the Bergman projection for a class of pseudoconvex d...
We prove the weighted $L^p$ regularity of the ordinary Bergman and Cauchy-Szeg\H{o} projections on s...
We study the Bergman projection, $\mathcal{B}$, and the Cauchy-Szeg\H{o} projection, $\mathcal{S}$, ...
We prove sufficient conditions for the two-weight boundedness of the Bergman projection on the unit ...
In this paper we investigate the regularity properties of weighted Bergman projections for smoothly ...
Let D⊂ℂn be a bounded, strongly Levi-pseudoconvex domain with minimally smooth boundary. We prove Lp...
Let D⊂ℂn be a bounded, strongly Levi-pseudoconvex domain with minimally smooth boundary. We prove Lp...
In this note we show that the weighted $L^{2}$-Sobolev estimates obtained by P. Charpentier, Y. Dupa...
In this paper, we give precise isotropic and non-isotropic estimates for the Bergman and Szegö proje...
Given a bounded strongly pseudoconvex domain D in C^n with smooth boundary, we give a characterizati...
Given a bounded strongly pseudoconvex domain D in C^n with smooth boundary, we give a characterizati...
In this paper, we give precise isotropic and non-isotropic estimates for the Bergman and Szegö proje...
This note is an announcement of the author's recent works [1, 2, 3] on Levi-flat real hypersurfaces,...
summary:We consider and solve extremal problems in various bounded weakly pseudoconvex domains in $\...
summary:We consider and solve extremal problems in various bounded weakly pseudoconvex domains in $\...
We establish a weighted $L^p$ norm estimate for the Bergman projection for a class of pseudoconvex d...
We prove the weighted $L^p$ regularity of the ordinary Bergman and Cauchy-Szeg\H{o} projections on s...
We study the Bergman projection, $\mathcal{B}$, and the Cauchy-Szeg\H{o} projection, $\mathcal{S}$, ...
We prove sufficient conditions for the two-weight boundedness of the Bergman projection on the unit ...
In this paper we investigate the regularity properties of weighted Bergman projections for smoothly ...
Let D⊂ℂn be a bounded, strongly Levi-pseudoconvex domain with minimally smooth boundary. We prove Lp...
Let D⊂ℂn be a bounded, strongly Levi-pseudoconvex domain with minimally smooth boundary. We prove Lp...
In this note we show that the weighted $L^{2}$-Sobolev estimates obtained by P. Charpentier, Y. Dupa...
In this paper, we give precise isotropic and non-isotropic estimates for the Bergman and Szegö proje...
Given a bounded strongly pseudoconvex domain D in C^n with smooth boundary, we give a characterizati...
Given a bounded strongly pseudoconvex domain D in C^n with smooth boundary, we give a characterizati...
In this paper, we give precise isotropic and non-isotropic estimates for the Bergman and Szegö proje...
This note is an announcement of the author's recent works [1, 2, 3] on Levi-flat real hypersurfaces,...
summary:We consider and solve extremal problems in various bounded weakly pseudoconvex domains in $\...
summary:We consider and solve extremal problems in various bounded weakly pseudoconvex domains in $\...