Add to ORKGIn this article, we consider a modified version of minimal $L^2$ integrals on sublevel sets of plurisubharmonic functions related to modules at boundary points, and obtain a concavity property of the modified version. As an application, we give a characterization for the concavity degenerating to linearity on open Riemann surfaces.Comment: 49 pages, all comments are welcome. arXiv admin note: substantial text overlap with arXiv:2203.0772
In this article, we consider a generalization of the conjugate Hardy $H^2$ spaces, and give some pro...
It is known that projective minimal models satisfy the celebrated Miyaoka-Yau inequalities. In this ...
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In this article, we present characterizations of the concavity property of minimal $L^2$ integrals d...
In this article, we present a concavity property of the minimal $L^{2}$ integrals related to multipl...
In this article, we consider the minimal $L^2$ integrals related to modules at boundary points on fi...
In this article, we consider minimal $L^2$ integrals on the sublevel sets of plurisubharmonic functi...
This note is an announcement of the author's recent works [1, 2, 3] on Levi-flat real hypersurfaces,...
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We collect several results concerning regularity of minimal laminations, and governing the various m...
In this article, we consider a generalization of the conjugate Hardy $H^2$ spaces, and give some pro...
In this article, we continue the study of $L^p$-boundedness of the maximal operator $\mathcal M_S$ a...
In this article, we consider a generalization of the conjugate Hardy $H^2$ spaces, and give some pro...
It is known that projective minimal models satisfy the celebrated Miyaoka-Yau inequalities. In this ...
We prove that in a Riemannian manifold $M$, each function whose Hessian is proportional the metric t...
In this article, we present characterizations of the concavity property of minimal $L^2$ integrals d...
In this article, we present a concavity property of the minimal $L^{2}$ integrals related to multipl...
In this article, we consider the minimal $L^2$ integrals related to modules at boundary points on fi...
In this article, we consider minimal $L^2$ integrals on the sublevel sets of plurisubharmonic functi...
This note is an announcement of the author's recent works [1, 2, 3] on Levi-flat real hypersurfaces,...
For a class of functions (called Rad\'o functions) that arise naturally in minimal surface theory, w...
We address the one-parameter minmax construction for the Allen–Cahn energy that has recently lead to...
We discuss residue formulae that localize the first Chern class of a line bundle to the singular loc...
For a regular del Pezzo surface $X$, we prove that $|-12K_X|$ is very ample. Furthermore, we also gi...
We collect several results concerning regularity of minimal laminations, and governing the various m...
In this article, we consider a generalization of the conjugate Hardy $H^2$ spaces, and give some pro...
In this article, we continue the study of $L^p$-boundedness of the maximal operator $\mathcal M_S$ a...
In this article, we consider a generalization of the conjugate Hardy $H^2$ spaces, and give some pro...
It is known that projective minimal models satisfy the celebrated Miyaoka-Yau inequalities. In this ...
We prove that in a Riemannian manifold $M$, each function whose Hessian is proportional the metric t...