Showing math.CAShow all
3 papers · 1 filter
math.CA2025
Distances in sets of positive Korányi upper density in Heisenberg Group
K S Senthil Raani, Rajesh K. Singh
We prove that any measurable set in the Heisenberg group, , of positive upper density has the property that all sufficiently large real numbers are realised as the Ko…
math.CA2022
Weighted estimates for bilinear fractional integral operator on the Heisenberg group
Abhishek Ghosh, Rajesh K. Singh
In this article, we introduce an analogue of Kenig and Stein's bilinear fractional integral operator on the Heisenberg group . We completely characterize exponents $α…
math.CA2017
A sharp form of the Marcinkiewicz Interpolation Theorem for Orlicz spaces
Ron Kerman, Rama Rawat, Rajesh K. Singh
An extension of Marcinkiewicz Interpolation Theorem, allowing intermediate spaces of Orlicz type, is proved. This generalization yields a necessary and sufficient condition so that…