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math.FA2023
A Logarithmic Uncertainty Principle for Functions with Radial Symmetry
Jacopo Bellazzini, Matteo Nesi
In this note, we prove a new uncertainty principle for functions with radial symmetry by differentiating a radial version of the Stein-Weiss inequality. The difficulty is to prove…
math.FA2022
A note on the fractional Hardy inequality
Matteo Aldovardi, Jacopo Bellazzini
We give a direct proof of fractional Hardy inequality by means of Littlewood-Paley decomposition and properties of singular homogeneous kernels of degree -. A refinement when $q…
math.FA2022
Compact embeddings for fractional super and sub harmonic functions with radial symmetry
Jacopo Bellazzini, Vladimir Georgiev
We prove compactness of the embeddings in Sobolev spaces for fractional super and sub harmonic functions with radial symmetry. The main tool is a pointwise decay for radially symme…