Pseudo-uniform convexity of $H\sp{1}$ in several variables

Pseudo-Conformal Geometry of Polygenic Functions of Several Complex Variables.

Convexity minimizes pseudo-triangulations

The number of minimum pseudo-triangulations is minimized for point sets in convex position.

Approximately generalized additive functions in several variables

The goal of  this paper is to investigate the solutionand stability in random normed spaces, in non--Archimedean spacesand also in $p$--Banach spaces and finally the stability using thealternative fixed point of generalized additive functions inseveral variables.

On the Uniform Convexity Of

The standard proof of the uniform convexity of L using Clarkson’s [1] or Hanner’s [2] inequalities (see also [4]) is rarely taught in functional analysis classes, in part (the author imagines) because the proofs of those inequalities are quite non-intuitive and unwieldy. We present here a direct proof, cheerfully sacrificing the optimal bounds – for which, see [2, 4]. It fits quite nicely in wi...

POWER TYPE UNIFORM CONVEXITY OF X VIA p - ASYMPTOTIC UNIFORM CONVEXITY OF L r ( X

We show that if Lr(X), 1 < r < ∞, has an asymptotically uniformly convex renorming of power type then X admits a uniformly convex norm of power type.