Results 111 to 120 of about 14,631 (194)

Sobolev embeddings in grand variable Herz-Morrey Besov spaces

open access: yesBoundary Value Problems
This paper develops a comprehensive framework for the study of grand variable Herz-Morrey Besov spaces with variable smoothness and integrability.
Babar Sultan, Amjad Hussain
doaj   +1 more source

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

Kolmogorov compactness criterion in variable exponent Lebesgue spaces

open access: yes, 2009
The well-known Kolmogorov compactness criterion is extended to the case of variable exponent Lebesgue spaces $L^{p(\cdot)}( )$, where $ $ is a bounded open set in $\mathbb R^n$ and $p(\cdot)$ satisfies some "standard" conditions. Our final result should be called Kolmogorov-Tulajkov Sudakov compactness criterion, since it includes the case $p_-=1 ...
openaire   +2 more sources

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

Simultaneous Approximation In Lebesgue Space With Variable Exponent

open access: yes, 2018
In this paper we deal with the simultaneous approximations by trigonometric polynomials of 27 periodic functions in the variable exponent Lebesgue spaces. In terms of the higher moduli of smoothness the direct and inverse theorems of simultaneous approximation are proved. Moreover, the generalized variable exponent Lipschitz classes are defined and the
Israfilov, Daniyal M., Testici, Ahmet
openaire   +2 more sources

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