We study a generalization of the classical Marcinkiewicz-Zygmund inequalities. We relate this problem to the sampling sequences in the Paley-Wiener space and by using this analogy we give sharp necessary and sufficient computable conditions for a family of points to satisfy the Marcinkiewicz-Zygmund inequalities.

Using isoperimetry and symmetrization we provide a unified framework to study the classical and logarithmic Sobolev inequalities. In particular, we obtain new Gaussian symmetrization inequalities and connect them with logarithmic Sobolev inequalities. Our methods are very general and can be easily adapted to more general contexts.

We consider the reduction of problems on general noncommutative Lp-spaces to the corresponding ones on those associated with finite von Neumann algebras. The main tool is an unpublished result of the first-named author which approximates any noncommutative Lpspace by tracial ones. We show that under some natural conditions a map between two von Neumann algebras extends to their crossed products...

This paper explores the relationship between fiscal federalism, understood as institutionalized regional economic self-rule, and convergence in regional per capita incomes. The principal economic argument against fiscal federalism is that, unless paired with generous equalization grants, it will enhance regional inequalities by reducing inter-regional redistribution. Does the evidence support t...

Infrastructure development is critical to sustain and attain optimum output from the rapidly growing Indian dairy sector. The existing studies indicate need improve infrastructure; however, varies across regions. This study analyses disparity in infrastructure of one highly progressive State – Gujarat - using a Principal Component Approach (PCA). results that there exists nearly 54% facility ...