In this paper we establish a mean value property for the functions which is satisfied to Laplace–Bessel equation. Our results involve generalized divergence theorem and second Green’s identities relating bulk with boundary of region on differential Bessel operators act. Also design fractional weighted operator, study its boundedness, obtain maximal inequality spherical get boundedness. The conn...

Illumination estimation from a single image is critical in 3D rendering and it has been investigated extensively the computer vision graphic research community. On other hand, existing works estimate illumination by either regressing light parameters or generating maps that are often hard to optimize tend produce inaccurate predictions. We propose Earth Mover’s Light (EMLight), an framework lev...

Abstract. Aggregation of particles occurs in a large variety settings and is therefore the focus many disciplines, e.g., Earth environmental sciences, astronomy, meteorology, pharmacy, food industry. In particular, volcanology, ash aggregation deeply influences sedimentation volcanic atmosphere during after eruption, affecting accuracy model predictions evaluation hazard risk assessments. It th...

We present a general framework to treat the evolution of one-point probability distribution function (PDF) for cosmic density δ and velocity-divergence fields θ. In particular, we derive an evolution equation for the one-point PDFs and consider the stochastic nature associated with these quantities. Under the local approximation that the evolution of cosmic fluid fields can be characterized by ...