期刊: JOURNAL OF GEOMETRIC ANALYSIS, 2021; 31 (11)
This paper concerns the following magnetic Schrodinger-Poisson system {-(del + iA(x))(2)u + (lambda V(x) + Z(x))u + phi u = f(vertical bar u vertical ......
期刊: JOURNAL OF GEOMETRIC ANALYSIS, 2021; 31 (2)
We extend profound results in pluripotential theory on Kahler manifolds (Darvas in , 2019) to Sasaki setting via its transverse Kahler structure. As i......
期刊: JOURNAL OF GEOMETRIC ANALYSIS, 2021; 31 (11)
We prove that for certain positive operators T, such as the Hardy-Littlewood maximal function and fractional integrals, there is a constant D > 1, ......
期刊: JOURNAL OF GEOMETRIC ANALYSIS, 2021; 31 (7)
In Nagel et al. (J Funct Anal 181:29-118, 2001), Nagel-Ricci-Stein established the relationships between product kernels and flag kernels on the Eucli......
期刊: JOURNAL OF GEOMETRIC ANALYSIS, 2021; 31 (11)
In this paper, we study locally projectively flat Finsler metrics of constant flag curvature. We find equations that characterize these metrics by war......
期刊: JOURNAL OF GEOMETRIC ANALYSIS, 2021; 31 (11)
In the literature on slice analysis in the hypercomplex setting, there are two main approaches to define slice regular functions in one variable: one ......
期刊: JOURNAL OF GEOMETRIC ANALYSIS, 2021; 31 (10)
In this paper, we establish a weighted version of the well-known Frechet-Kolmogorov theorem, which holds for weights beyond A(infinity). This weighted......
期刊: JOURNAL OF GEOMETRIC ANALYSIS, 2021; 31 (2)
In this paper, we introduce a class of Sasaki manifolds, called G-Sasaki manifolds with a reductive G-group action on their Kahler cones. By proving t......
期刊: JOURNAL OF GEOMETRIC ANALYSIS, 2021; 31 (11)
Let (Omega, F, P) be a probability space, phi : Omega x [0, infinity) -> [0, infinity) a Musielak-Orlicz function, and q is an element of (0, infin......
期刊: JOURNAL OF GEOMETRIC ANALYSIS, 2021; 31 (11)
Let f = P[ F] denote the Poisson integral of F in the unit disk D with F being absolutely continuous in the unit circle T and (F) over dot is an eleme......
期刊: JOURNAL OF GEOMETRIC ANALYSIS, 2021; 31 (11)
In this paper, we endow the space of continuous translation invariant valuations on convex sets generated by mixed volumes coupled with a suitable Rad......
期刊: JOURNAL OF GEOMETRIC ANALYSIS, 2021; 31 (11)
In this article we study the local estimates of Ricci flow when the curvature of the initial metric is of almost PIC1 and use it to study complete man......
期刊: JOURNAL OF GEOMETRIC ANALYSIS, ; ()
In this paper, we study left invariant Lorentz algebraic Ricci solitons on nilpotent Lie groups. Based on the concept of Lorentz datum and the techniq......
期刊: JOURNAL OF GEOMETRIC ANALYSIS, ; ()
In this paper, we are interested in a coupled Schrodinger system with Stein-Weiss type convolution part. Firstly we study the existence and nonexisten......
期刊: JOURNAL OF GEOMETRIC ANALYSIS, ; ()
In this paper, we study the limiting flow of conical Kahler-Ricci flow modified by a holomorphic vector field on a compact Kahler manifold M which car......