No abstract

Sharp weighted boundedness of Calderón-Zygmund operators on non-homogeneous spaces was obtained in [25]. In this article we address this problem for multilinear Calderón-Zygmund operators. We have adapted the method of pointwise domination by suitable multuilinear sparse operators and as a consequence we have sharp weighted bounds for multilinear Calderón-Zygmund operators.

In this paper, we developed an inventory model for deteriorating items under time dependent demand function. Inventory holding cost is a linear function of time. For deterioration of units we considered two parameters Weibull distribution. In this study, a more realistic scenario is assumed where the part of shortages was backordered and the rest was lost with time. The backordering rate is variable and it is considered exponential function depending on waiting time for the next replenishment. Solution procedure of the developed model is presented with numerical example and its sensitivity analysis.

In this paper it is shown that for Ω ∈ L log L(S d−1 ), the rough maximal singular integral operator), which is same as the best known constant for the singular integral TΩ.