P. Mohanty

collaborators

3 papers

math.CA2003

A product convergence theorem for Henstock--Kurzweil integrals

Parasar Mohanty, Erik Talvila

Necessary and sufficient for $\int_{a}^{b} f g_{n} \to \int_{a}^{b} f g$ for all Henstock--Kurzweil integrable functions $f$ is that $g$ be of bounded variation, $g_{n}$ be uniformly bounded and of…

math.FA2002

Summability Kernels for $L^{p}$ Multipliers

P. Mohanty, S. Madan

In this paper we have characterized the space of summability kernels for the case p=1 and p=2. For other values of p we give a necessary condition for a function $Λ$ to be a summab…

math.FA2002

Extensions of Weak-Type Multipliers

P. Mohanty, S. Madan

In this paper we prove that if $Λ \in M_{p} (R^{N})$ and has compact support then $Λ$ is a weak summability kernel for $1 < p < \infty$ , where $M_{p} (R^{N})$ is the space of mult…

A product convergence theorem for Henstock--Kurzweil integrals

Summability Kernels for Lp Multipliers

Extensions of Weak-Type Multipliers

Summability Kernels for $L^{p}$ Multipliers