Výsledky vyhledávání - "Takala, Timo"

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Preserving Besov (fractional Sobolev) energies under sphericalization and flattening

Autor: Björn, Anders, Björn, Jana, Korte, Riikka, Rogovin, Sari, Takala, Timo

We introduce a new sphericalization mapping for metric spaces that is applicable in very general situations, including totally disconnected fractal type sets. For an unbounded complete metric space which is uniformly perfect at a base point for large

Externí odkaz: http://arxiv.org/abs/2409.17809

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The John-Nirenberg space: Equality of the vanishing subspaces $VJN_p$ and $CJN_p$

Autor: Korte, Riikka, Takala, Timo

The John-Nirenberg spaces $JN_p$ are generalizations of the space of bounded mean oscillation $BMO$ with $JN_{\infty}=BMO$. Their vanishing subspaces $VJN_p$ and $CJN_p$ are defined in similar ways as $VMO$ and $CMO$, which are subspaces of $BMO$. As

Externí odkaz: http://arxiv.org/abs/2303.12064

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Nontrivial examples of $JN_p$ and $VJN_p$ functions

Autor: Takala, Timo

Publikováno v: Mathematische Zeitschrift (2022)

We study the John-Nirenberg space $JN_p$, which is a generalization of the space of bounded mean oscillation. In this paper we construct new $JN_p$ functions, that increase the understanding of this function space. It is already known that $L^p(Q_0)

Externí odkaz: http://arxiv.org/abs/2109.08590

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