Fixed points and stability in nonlinear equations with variable delays.
Triple positive solutions of fourth-order four-point boundary value problems for -Laplacian dynamic equations on time scales.
Riesz transforms for symmetric diffusion operators on complete Riemannian manifolds.
A new delay vector integral inequality and its application.
Smoothness of Itô maps and diffusion processes on path spaces (I)
Bound for the largest singular value of nonnegative rectangular tensors
In this paper, we give a new bound for the largest singular value of nonnegative rectangular tensors when m = n, which is tighter than the bound provided by Yang and Yang in “Singular values of nonnegative rectangular tensors”, Front. Math. China, 2011, 6, 363-378.
Littlewood-Paley-Stein functions on complete Riemannian manifolds for 1 ≤ p ≤ 2
We study the weak type (1,1) and the -boundedness, 1 < p ≤ 2, of the so-called vertical (i.e. involving space derivatives) Littlewood-Paley-Stein functions and ℋ respectively associated with the Poisson semigroup and the heat semigroup on a complete Riemannian manifold M. Without any assumption on M, we observe that and ℋ are bounded in , 1 < p ≤ 2. We also consider modified Littlewood-Paley-Stein functions that take into account the positivity of the bottom of the spectrum. Assuming that...
Two generalizations of Cheeger-Gromoll splitting theorem via Bakry-Emery Ricci curvature
In this paper, we prove two generalized versions of the Cheeger-Gromoll splitting theorem via the non-negativity of the Bakry-Émery Ricci curavture on complete Riemannian manifolds.
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