We study the condition that characterizes the symbols of bounded Hankel operators on the Bergman space of a strongly pseudoconvex domain and show that it is equivalent to BMO plus analytic. (Here we mean the Bergman metric BMO of Berger, Coburn and Zhu.) In the course of the proof we obtain new d -estimates that may be of independent interest. Some applications include a decomposition of BMO si...

This paper is a comprehensive study of Lp estimates for time fractional wave equations order ??(1,2) in the whole space, half or cylindrical domain. We obtain weighted mixed-norm and solvability both non-divergence form divergence when leading coefficients have small mean oscillation cylinders.

Abstract We give a real-analytic section for the Teichmüller projection onto VMO-Teichmüller space by using variant of Beurling–Ahlfors extension heat kernel introduced Fefferman et al. (Ann Math 134:65–124, 1991). Based on this result, we prove that can be endowed with real Banach manifold structure is real-analytically equivalent to its complex structure. also obtain admits contraction mapping.

Abstract This work is concerned with both higher integrability and differentiability for linear nonlocal equations possibly very irregular coefficients of VMO-type or even that are merely small in BMO. In particular, such might be discontinuous. While corresponding local elliptic VMO a gain Sobolev regularity along the scale unattainable, it was already observed previous works gaining our setti...

A computer model based on visual cortex has been constructed to analyze how the operations of multiple, functionally segregated cortical areas can be coordinated and integrated to yield a unified perceptual response. We propose that cortical integration arises through the process of reentry--the ongoing, parallel, recursive signaling between separate maps along ordered anatomical connections. T...

We study qualitative properties of solutions to double divergence form elliptic equations (or stationary Kolmogorov equations) on Rd. It is shown that the Harnack inequality holds for nonnegative if diffusion matrix A nondegenerate and satisfies Dini mean oscillation condition drift coefficient b locally integrable some power p > d. establish new estimates Lp-norms obtain a generalization known...