Isoperimetric type inequalities for integral geometric invariants of random lines in the Euclidean space are shown.Entropy inequalities of probability densities on the affine Grassmann manifold of lines are given.
supported by the National Natural Science Foundation of China(12171144,12231006,12122106).
In this paper,the L_(p)chord Minkowski problem is concerned.Based on the results shown in[20],we obtain a new existence result of solutions to this problem in terms of smooth measures by using a nonlocal Gauss curvatu...
supported by the National Key Research and Development Program of China(Grant No.2020YFD1100602);the Shaanxi Key Research and Development Program(Grant No.2023-ZDLNY-66);the Shaanxi Provincial Science and Technology Program(Grant No.Z2024-ZYFS-0043).
Extreme nutrient solution temperature significantly affects photosynthetic characteristics of hydroponic vegetables and gives rise to slow plant growth.In this study,a method was proposed to obtain the suitable nutrie...
After reviewing Grunsky operator and Faber operator acting on Dirichlet space,we discuss the boundedness of Faber operator on BMOA,a new subject which turns out to be closely related to the BMO theory of the universal...
Supported by the Start-up Research Fund from Huzhou University (RK21089)。
In this paper, we investigate the envelope of two special families of chords of an ellipse and prove that the envelopes are also ellipses. The obtained results are important for computerized design of the generation o...
National Natural Science Foundation of China (Grant No. 11501259)。
We study the relation between the boundary of a simply connected domainΩbeing Ahlfors-regular and the invariance of Carleson measures under the push-forward operator induced by a conformal mapping from the unit disk...
Project supported by the National Natural Science Foundation of China(Grant Nos.51609162,51379138);the National Program on Key Research Project(Grant No.2016YFC0401901).
The microscopic air-water structures and the interface area properties in the self-aerated flows are important research issues in the high-speed self-aerated flows.The present experimental study concerns the mean and ...
supported by NSF(Grant No.DMS-1664047);supported by NSF(Grant No.DMS-1440140)
It is a well-known folklore result that quantitative, scale invariant absolute continuity(more precisely, the weak-A∞ property) of harmonic measure with respect to surface measure, on the boundary of an open set Ω ?...
Supported by the Innovative Project of College Students of Jiangsu Province(201710332019Z);the Natural Science Foundation of Jiangsu Province(BK20171218);the National Natural Science Foundation of China(11671293)
In this paper, we show that when Minkowski measure of asymmetry of convex body K of constant width is bigger than a(n-1), K has at least n+1 critical chords, where a(n)=n+(2n(n+1))√1/2/n+2.
The matching energy of graph G is defined as , where be the roots of matching polynomial of graph G. In order to compare the energies of a pair of graphs, Gutman and Wager further put forward the concept of quasi-orde...