14 citations · 40 across the 21 of their papers we have counts for
7 papers · 1 filter
Uncentered Fractional Maximal functions and mean oscillation spaces associated with dyadic Hausdorff content
Riju Basak, You-Wei Benson Chen, Prasun Roychowdhury
We study the action of uncentered fractional maximal functions on mean oscillation spaces associated with the dyadic Hausdorff content with . Fo…
The Capacitary John-Nirenberg Inequality Revisited
Riju Basak, You-Wei Benson Chen, Prasun Roychowdhury +1
In this paper, we establish maximal function estimates, Lebesgue differentiation theory, Calderón-Zygmund decompositions, and John-Nirenberg inequalities for translation invariant…
One-dimensional integral Rellich type inequalities
Tohru Ozawa, Prasun Roychowdhury, Durvudkhan Suragan
The motive of this note is twofold. Inspired by the recent development of a new kind of Hardy inequality, here we discuss the corresponding Hardy-Rellich and Rellich inequality ver…
Multidimensional Frank-Laptev-Weidl improvement of the Hardy Inequality
Prasun Roychowdhury, Michael Ruzhansky, Durvudkhan Suragan
We establish a new improvement of the classical -Hardy inequality on the multidimensional Euclidean space in the supercritical case. Recently, in [14], there has been a new ki…
Improvement of the discrete Hardy inequality
Prasun Roychowdhury, Durvudkhan Suragan
We establish a novel improvement of the classical discrete Hardy inequality, which gives the discrete version of a recent (continuous) inequality of Frank, Laptev, and Weidl. Our a…
On Higher order Poincaré Inequalities with radial derivatives and Hardy improvements on the hyperbolic space
Prasun Roychowdhury
In this paper we prove higher order Poincaré inequalities involving radial derivatives namely, \begin{equation*} \int_{\mathbb{H}^{N}} |\nabla_{r,\mathbb{H}^{N}}^{k} u|^2 \, {\rm d…
On some strong Poincaré inequalities on Riemannian models and their improvements
Elvise Berchio, Debdip Ganguly, Prasun Roychowdhury
We prove second and fourth order improved Poincaré type inequalities on the hyperbolic space involving Hardy-type remainder terms. Since theirs l.h.s. only involve the radial part…