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The Fourier transform in variable exponent Lebesgue spaces

open access: yes
In this work we define a Fourier transform for each $f\in L^{p(\cdot)}(\mathbb{R})$, for a large class of exponent functions $p(\cdot)$, as the distributional derivative of a Hölder continuous function. A norm is defined in the space of such Fourier transforms so that it is isometrically isomorphic to $L^{p(\cdot)}(\mathbb{R})$.
Kowacs, André Pedroso   +1 more
openaire   +2 more sources

Density of imaginary multiplicative chaos via Malliavin calculus. [PDF]

open access: yesProbab Theory Relat Fields, 2022
Aru J, Jego A, Junnila J.
europepmc   +1 more source

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