S. Astashkin

activity

20002026

most citedDuality problem for disjointly homogeneous rearrangement invariant spaces

7 citations · 33 across the 28 of their papers we have counts for

collaborators

Showing 2017Show all

2 papers · 1 filter

math.FA2017

Garsia-Rodemich spaces: Local Maximal Functions and Interpolation

Sergey Astashkin, Mario Milman

We characterize the Garsia-Rodemich spaces associated with a rearrangement invariant space via local maximal operators. Let $Q_{0}$ be a cube in $R^{n}$ . We show that there exists…

math.FA2017

$L_{p} + L_{\infty}$ and $L_{p} \cap L_{\infty}$ are not isomorphic for all $1 \leq p < \infty,$ $p \neq = 2$

S. V. Astashkin, L. Maligranda

Isomorphic classification of symmetric spaces is an important problem related to the study of symmetric structures in arbitrary Banach spaces. This research was initiated in the se…

Garsia-Rodemich spaces: Local Maximal Functions and Interpolation

Lp​+L∞​ and Lp​∩L∞​ are not isomorphic for all 1≤p<∞, p=2

$L_{p} + L_{\infty}$ and $L_{p} \cap L_{\infty}$ are not isomorphic for all $1 \leq p < \infty,$ $p \neq = 2$