25 citations · 27 across the 21 of their papers we have counts for
8 papers · 1 filter
An extension problem, trace Hardy and Hardy's inequalities for Ornstein-Uhlenbeck operator
Pritam Ganguly, Ramesh Manna, Sundaram Thangavelu
In this paper, we study an extension problem for the Ornstein-Uhlenbeck operator and we obtain various characterisations of the solution of the same. We use…
Carleman estimates for a class of variable coefficient degenerate elliptic operators with applications to unique continuation
Agnid Banerjee, Ramesh Manna
In this paper, we obtain new Carleman estimates for a class of variable coefficient degenerate elliptic operators whose constant coefficient model at one point is the so called Bao…
Trace mappings on quasi-Banach modulation spaces and applications to pseudo-differential operators of amplitude type
Joachim Toft, Divyang Bhimani, Ramesh Manna
We deduce trace properties for modulation spaces of Gelfand-Shilov distributions. We use these properties to show that pseudo-differential operators with amplitudes in suitable mod…
Phase space analysis of the Hermite semigroup and applications to nonlinear global well-posedness
Divyang G. Bhimani, Ramesh Manna, Fabio Nicola +2
We study the Hermite operator in and its fractional powers , in phase space. Namely, we represent functions via the so-called short-time…
-normal spaces
Sagarmoy Bag, Ram Chandra Manna, Asit Baran Raha
A space is called -normal space if there exist a normal space and a bijection such that is homeomorphism for any cellular-com…
Translation and modulation invariant Hilbert spaces
Joachim Toft, Anupam Gumber, Ramesh Manna +1
We show that for any Hilbert space of distributions on which is translation and modulation invariant, is equal to , with the same norm apart from…