WebRemovability of singularities and superharmonicity for some fractional Laplacian … WebWe now introduce a notion of matrix superharmonicity for matrix-variate functions, which …
Superharmonicity of curvature function for the convex …
WebMay 26, 2024 · We investigate Bayes estimation of a normal mean matrix under the matrix quadratic loss, which is viewed as a class of loss functions including the Frobenius loss and quadratic loss for each column. First, we derive an unbiased estimate of risk and show that the Efron–Morris estimator is minimax. Next, we introduce a notion of matrix … WebOur priors are superharmonic and put more weight on matrices with smaller singular values. They are a natural generalization of the Stein prior. Bayes estimators and Bayesian predictive densities based on our priors are minimax and dominate those based on the uniform prior in finite samples. lady in black dress dream
Superharmonicity of the distance function - MathOverflow
WebOn definitions of superharmonic functions Seizô Itô. Annales de l'institut Fourier (1975) . Volume: 25, Issue: 3-4, page 309-316; ISSN: 0373-0956; Access Full Article Web开馆时间:周一至周日7:00-22:30 周五 7:00-12:00; 我的图书馆 WebApr 18, 2024 · We study some qualitative properties (including removable singularities and superharmonicity) of non-negative solutions to $$ (-\Delta)^\gamma u=fu^p\quad\text{in }\mathbb R^n\setminus\Sigma $$ which are singular at $\Sigma$. Here $\gamma \in (0, \frac{n}{2})$. Among other things, we first prove that if $\Sigma$ is a compact set in … lady in black london