Miquel Saucedo

collaborators

2 papers

math.CA2024

Poisson summation formula in weighted Lebesgue spaces

Miquel Saucedo, Sergey Tikhonov

We characterize the parameters $(α, β, p, q)$ for which the condition $f ∣ x ∣^{α} \in L^{p}$ and $f ∣ ξ ∣^{β} \in L^{q}$ implies the validity of the Poisson summation formula, thus complet…

math.CA2024

Note on Fourier inequalities

Miquel Saucedo, Sergey Tikhonov

We prove that the Hausdorff--Young inequality $∥ f ∥_{q (\cdot)} \leq C ∥ f ∥_{p (\cdot)}$ with $q (x) = p^{'} (1/ x)$ and $p (\cdot)$ even and non-decreasing holds in variable…