4 papers
Some weighted modular inequalities in variable Lebesgue spaces
Megha Madan, Arun Pal Singh
We establish a necessary and sufficient weight condition so that a modular inequality holds for a generalized integral operator on non-negative non-increasing functions in we…
Rubio de Francia Extrapolation Theorem for Quasi non-increasing Sequences
Monika Singh, Amiran Gogatishvili, Rahul Panchal +1
We prove the discrete Rubio de Francia extrapolation theorem for a pair of quasi non-increasing sequences with weight class. Also, a weight characterization o…
Dunkl-Hausdorff operator on weighted Orlicz spaces
Megha Madan, Arun Pal Singh, Monika Singh
We characterize the modular and norm inequalities for the Dunkl-Hausdorff operator defined on non-negative non-increasing functions in the framework of the weighted Orlicz spaces.
Rubio de Francia Extrapolation Theorems for Quasi-Monotone Functions
Arun Pal Singh, Ragul Panchal, Pankaj Jain +1
We prove Rubio de Francia extrapolation results in Lebesgue and grand Lebesgue spaces for quasi monotone functions with weights. The extrapolation in Lebesgue spaces wit…