期刊： TOHOKU MATHEMATICAL JOURNAL, 2021; 73 (1)
On a Riemannian manifold, a Liouville transformation is a conformal change which preserves the Ricci tensor. In Finsler geometry, there are various ty......
期刊： TOHOKU MATHEMATICAL JOURNAL, 2020; 72 (2)
Let A be an expansive dilation on R-n, q is an element of (0, infinity] and p(.) : R-n -> (0, infinity) be a variable exponent function satisfying ......
期刊： TOHOKU MATHEMATICAL JOURNAL, 2020; 72 (4)
In this paper we generalize the characterization for Sobolev spaces with constant exponent via averages on balls to the variable exponent setting. Thi......
期刊： TOHOKU MATHEMATICAL JOURNAL, 2020; 72 (4)
Motivated by [5], we obtain new equivalent conditions for two-sided heat kernel estimates of symmetric non-local Dirichlet forms in terms of resistanc......
期刊： TOHOKU MATHEMATICAL JOURNAL, 2020; 72 (4)
Let M-n be a closed Riemannian manifold on which the integral of the scalar curvature is nonnegative. Suppose a is a symmetric (0, 2) tensor field who......
期刊： TOHOKU MATHEMATICAL JOURNAL, 2019; 71 (2)
Let I-alpha be the linear and I-alpha be the bilinear fractional integral operators. In the linear setting, it is known that the two-weight inequality......
期刊： TOHOKU MATHEMATICAL JOURNAL, 2019; 71 (2)
In this paper, we consider a diffusion equation coupled to an ordinary differential equation with FitzHugh-Nagumo type nonlinearity. We construct cont......
期刊： TOHOKU MATHEMATICAL JOURNAL, 2019; 71 (4)
In this paper, by using monotonicity formulas for vector bundle-valued p-forms satisfying the conservation law, we first obtain general L-2 global rig......
期刊： TOHOKU MATHEMATICAL JOURNAL, 2019; 71 (4)
In this paper we study the relative Chow and K-stability of toric manifolds. First, we give a criterion for relative K-stability and instability of to......
期刊： TOHOKU MATHEMATICAL JOURNAL, 2018; 70 (1)
We present a new Fukushima type decomposition in the framework of semiDirichlet forms. This generalizes the result of Ma, Sun and Wang [17, Theorem 1.......
期刊： TOHOKU MATHEMATICAL JOURNAL, 2017; 69 (3)
We establish the atomic decompositions for the weighted Hardy spaces with variable exponents. These atomic decompositions also reveal some intrinsic s......
期刊： TOHOKU MATHEMATICAL JOURNAL, 2017; 69 (1)
The family of Willmore immersions from a Riemann surface into Sn+2 can be divided naturally into the subfamily of Willmore surfaces conformally equiva......
