Holmstedt's formula for the K-functional: the limit case θ0=θ1

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F23%3A00579223" target="_blank" >RIV/67985840:_____/23:00579223 - isvavai.cz</a>

Result on the web

<a href="https://doi.org/10.1002/mana.202200440" target="_blank" >https://doi.org/10.1002/mana.202200440</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1002/mana.202200440" target="_blank" >10.1002/mana.202200440</a>

Result language

angličtina

Original language name

Holmstedt's formula for the K-functional: the limit case θ0=θ1

Original language description

We consider K-interpolation spaces involving slowly varying functions, and derive necessary and sufficient conditions for a Holmstedt-type formula to be held in the limiting case & theta,0=& theta,1 & ISIN,{0,1}$theta _0=theta _1in lbrace 0,1rbrace$. We also study the case & theta,0=& theta,1 & ISIN,(0,1)$theta _0=theta _1in (0,1)$. Applications are given to Lorentz-Karamata spaces, generalized gamma spaces, and Besov spaces.

Czech name

—

Czech description

—

Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

10101 - Pure mathematics

Project

<a href="/en/project/GA23-04720S" target="_blank" >GA23-04720S: Fine properties of functions, operators and function spaces</a><br>

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2023

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Mathematische Nachrichten

ISSN

0025-584X

e-ISSN

1522-2616

Volume of the periodical

296

Issue of the periodical within the volume

12

Country of publishing house

DE - GERMANY

Number of pages

19

Pages from-to

5474-5492

UT code for WoS article

001022752300001

EID of the result in the Scopus database

2-s2.0-85164310096