We introduce a class of singular integral operators on product domains along twisted surfaces.We prove that the operators are bounded on L^(p) provided that the kernels satisfy weak conditions.
supported in part by the National Natural Science Foundation of China(Grant Nos.12071451,11671371,11871446).
Let DN be the multicomponent twisted Heisenberg-Virasoro algebra.We compute the second continuous cohomology group with cofficients in C and study the biharmiltonian Euler equations associated to DN and its central ex...
J.-C.Sun’s work was supported by the National Natural Science Foundation of China(Grant Nos.11671247,11931009).
Let tsns^~ denote the twisted N=1 Schrodinger-Neveu-Schwarz algebra over the complex field C.In this paper,we determine the superskewsymmetric super-biderivations of tsns^~.Furthermore,we prove that every super-skewsy...
We prove an Artin-Schelter regularity result for the method of twisted tensor products under a certain form. Such twisted tensor products, whose twisting maps are determined by the action on the generators, include Or...
Abstract For a holomorphic function f defined on a strongly pseudo-convex domain in Cn such that it has only isolated critical points, we define a twisted Cauchy-Riemann operator -δτf :-δ+τδf∧. We will give an...
This work was supported in part by the Natural Science Foundation of Shandong Province (No. ZR2015AM016).
Let g be a holomorphic or Maass Hecke newform of level D and nebentypus XD, and let ag(n) be its n-th Fourier coefficient. We consider the sum S1=∑ X〈n≤2x ag(n)e(an β) and prove that S1 has an asymptotic for...
Acknowledgements This Foundation of China (Grant work was supported by Nos. 11471186, 11261063), the National Natural Science the Natural Science Foundation of Shandong Province (Nos. ZR2014AQ027 and ZR2014AQ024), and the Fund of the Key Disciplines in the General Colleges and Universities of Xin Jiang Uygur Autonomous Region (No. 2012ZDXK03).
In this paper, the notion of a twisted partial Hopf coaction is introduced. The conditions on partial cocycles are established in order to construct partial crossed coproducts. Then the classification of partial cross...
This work was supported in part by the National Natural Science Foundation of China (Grant No. 11426191).
level over module or We obtain that every irreducible quasifinite module with non-zero the twisted affine Nappi-Witten algebra is either a highest weight a lowest one
We construct a class of modules for the twisted multi-loop algebra of type A1 × A1 by applying Wakimoto free bosonic realization. We also discuss the structures and the irreducibility of the Fock space.
As an analog of the quantum TKK algebra, a twisted quantum toroidal algebra of type A1 is introduced. Explicit realization of the new quantum TKK algebra is constructed with the help of twisted quantum vertex operator...