On the first eigenvalue of the Steklov eigenvalue problem for the infinity Laplacian.
Carleson measures and Toeplitz operators on small Bergman spaces on the ball
We study Carleson measures and Toeplitz operators on the class of so-called small weighted Bergman spaces, introduced recently by Seip. A characterization of Carleson measures is obtained which extends Seip’s results from the unit disk of to the unit ball of . We use this characterization to give necessary and sufficient conditions for the boundedness and compactness of Toeplitz operators. Finally, we study the Schatten classes membership of Toeplitz operators for .
Convex quadratic underestimation and Branch and Bound for univariate global optimization with one nonconvex constraint
The purpose of this paper is to demonstrate that, for globally minimize one dimensional nonconvex problems with both twice differentiable function and constraint, we can propose an efficient algorithm based on Branch and Bound techniques. The method is first displayed in the simple case with an interval constraint. The extension is displayed afterwards to the general case with an additional nonconvex twice differentiable constraint. A quadratic bounding function which is better than the well known...
Lagrangian stability and global optimality in nonconvex quadratic minimization over Euclidean balls and spheres.
On globally solving linearly constrained indefinite quadratic minimization problems by decomposition branch and bound method
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