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math.AP2026
Boundary estimates for the fractional spherical maximal function
Riju Basak, Surjeet Singh Choudhary, Daniel Spector
In this article, we study the fractional spherical maximal function and its lacunary counterpart. We study the necessary and sufficient conditions for boundedness of both…
math.AP2025
Estimates for the wave equation on -dimensional spaces of measures
Riju Basak, Daniel Spector
In this paper, we establish Miyachi-Peral-type fixed-time estimates for wave multipliers acting on -dimension stable spaces of measures. Our estimates give a refinement of known…
math.AP2024
On sharp constants in higher order Adams-Cianchi inequalities
Prasun Roychowdhury, Daniel Spector
The main results of this paper are the establishment of sharp constants for several families of critical Sobolev embeddings. These inequalities were pioneered by David R. Adams, wh…