In this paper,some refinements of norm equalities and inequalities of combination of two orthogonal projections are established.We use certain norm inequalities for positive contraction operator to establish norm ineq...
supported by the National Natural Science Foundation of China (61963033, 61866036, 62163035);the Key Project of Natural Science Foundation of Xinjiang (2021D01D10);the Xinjiang Key Laboratory of Applied Mathematics (XJDX1401);the Special Project for Local Science and Technology Development Guided by the Central Government (ZYYD2022A05)。
The fixed-time synchronization and preassigned-time synchronization are investigated for a class of quaternion-valued neural networks with time-varying delays and discontinuous activation functions. Unlike previous ef...
In this paper we introduce the concept of tensor sum semigroups. Also we have given the examples of tensor sum operators which induce dynamical system on weighted locally convex function spaces.
supported by the National Natural Science Foundation of China(11201395);supported by the Science Foundation of Educational Commission of Hubei Province(Q20132801)
The author proves that if f : C → C^n is a transcendental vector valued mero-morphic function of finite order and assume, This result extends the related results for meromorphic function by Singh and Kulkarni.
supported by the National Natural Science Foundation of China (11071190)
Let B be a Banach space, φ1, φ2 be two generalized convex φ-functions and φ1, φ2 the Young complementary functions of ψ1, ψ2 respectively with∫t t0ψ2(s)/sds≤ds≤c0ψ1(c0t)(t〉t0)for some constants co ...
Supported by the National Natural Science Foundationof China (10671149)
We mainly study the almost sure limiting behavior of weighted sums of the form ∑ni=1 aiXi/bn , where {Xn, n ≥ 1} is an arbitrary Banach space valued random element sequence or Banach space valued martingale differen...
sponsored by the National Natural ScienceFunds for Young Scholars (10901166);the Scientific Research Foundation for the Youth Scholars of Sun Yat-SenUniversity;the Research Grant of University of Macao on Applications of Hyper-Complex Analysis (cativo:7560)
In this note, we study zeroes of Clifford algebra-valued polynomials. We prove that if such a polynomial has only real coefficients, then it has two types of zeroes: the real isolated zeroes and the spherical conjuga...
Supported by the Scientific Research Foundation of Hubei Province (D200613001);the National Natural Science Foundation of China (10371093)
A generalized Rosenthal's inequality for Banach-space-valued martingales is proved, which extends the corresponding results in the previous literatures and characterizes the p-uniform smoothness and q-uniform convexi...
In order to generalize Hadamard's theory of fundamental solutions to the case of degenerate holomorphic PDE, this paper studies the asymptotic expansion of Dirac-type distribution associated with a class of hypersurfa...
In this paper, nonstandard analysis is employed to present an existence theory of -valued stochastic differential equations involving evolution drift. And (C0, 1)-evolution systems are also defined and investigated on...