supported by the Natural Science Foundation of China(12271134);the Shanxi Scholarship Council of China(2020–089);the Fund Program for the Scientific Activities of Selected Returned Overseas Professionals in Shanxi Province(20200019).
In this paper,by characterizing Carleson measures,we investigate a class of bounded Toeplitz operator between weighted Bergman spaces with Békolléweights over the half-plane for all index choices.
supported by the National Natural Science Foundation of China(12272126,12272127);the Doctoral Fund of HPU(B2015-64).
Within the context of Gurtin-Murdoch surface elasticity theory,closed-form analytical solutions are derived for an isotropic elastic half-plane subjected to a concentrated/uniform surface load.Both the effects of resi...
We study sufficient conditions on radial and non-radial weight functions on the upper half-plane that guarantee norm approximation of functions in weighted Bergman,weighted Dirichlet,and weighted Besov spaces on the u...
In this paper, we explore the linear combinations of right half-plane mappings and vertical strip mappings. We demonstrate that the combinations of these harmonic mappings are convex in the vertical direction provided...
In this paper,a half-plane time-domain boundary element method is applied to obtain the seismic ground response,including a subsurface box-shaped lined tunnel deployed in a linear homogenous elastic medium exposed to ...
Project supported by the National Natural Science Foundation of China(Nos.11902217,11725207,12011530056);the Russian Foundation for Basic Research(No.20-58-53045-GFEN-a)。
Based on the couple-stress theory,the elastohydrodynamic lubrication(EHL)contact is analyzed with a consideration of the size effect.The lubricant between the contact surface of a homogeneous coated half-plane and a r...
In this study, a seismic analysis of semi-sine shaped alluvial hills above a circular underground cavity subjected to propagating oblique SH-waves using the half-plane time domain boundary element method(BEM) was carr...
We prove that the group of weighted composition operators induced by continuous automorphism groups of the upper half plane U is strongly continuous on the weighted Dirichlet space of U,Dα(U).Further,we investigate w...
supported by National Natural Science Foundation of China(Grant Nos.11771340 and 11431011)。
To overcome the unboundedness of the half-plane,we use Khinchine’s inequality and atom decomposition techniques to provide joint Carleson measure characterizations when the difference of composition operators is boun...
The authors wish to acknowledge the financial support on this study from the National Natural Science Foundation of China(No.11725207).
This paper investigates the dynamic response of a coated half-plane subjected to a harmonic Hertz load on the coating surface.The complex modulus is used to describe the hysteretic damping of the elastic homogeneous c...