N. Dobronravov

activity

20222026

collaborators

3 papers

math.CA2026

Uncertainty Principle for distributions with Fourier transform in $L_{p, q} (R^{d})$

Nikita Dobronravov

A version of the Uncertainty Principle says: There does not exist a non zero function in $L_{p} (R^{d})$ if its Fourier transform is supported by a set of finite $α$ -Hausdorff…

math.CA2024

A measure with small support and p-summable Fourier transform

Nikita P. Dobronravov

We construct a probability measure $μ$ supported on a set of zero $2 d / p$ -Hausdorff measure such that $μ^\in L_{p} (R^{d})$ .

math.CA2022

Frostman lemma revisited

Nikita P. Dobronravov

We study sharpness of various generalizations of Frostman's lemma. These generalizations provide better estimates for the lower Hausdorff dimension of measures. As a corollary, we…

Uncertainty Principle for distributions with Fourier transform in Lp,q​(Rd)

A measure with small support and p-summable Fourier transform

Frostman lemma revisited

Uncertainty Principle for distributions with Fourier transform in $L_{p, q} (R^{d})$