Norms supporting the Lebesgue differentiation theorem
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F18%3A10390833" target="_blank" >RIV/00216208:11320/18:10390833 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1142/S0219199717500201" target="_blank" >https://doi.org/10.1142/S0219199717500201</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1142/S0219199717500201" target="_blank" >10.1142/S0219199717500201</a>
Alternative languages
Result language
angličtina
Original language name
Norms supporting the Lebesgue differentiation theorem
Original language description
A version of the Lebesgue differentiation theorem is offered, where the L-p norm is replaced with any rearrangement-invariant norm. Necessary and sufficient conditions for a norm of this kind to support the Lebesgue differentiation theorem are established. In particular, Lorentz, Orlicz and other customary norms for which Lebesgue's theorem holds are characterized.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/GA13-14743S" target="_blank" >GA13-14743S: Function spaces, weighted inequalities and interpolation II</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Communications in Contemporary Mathematics
ISSN
0219-1997
e-ISSN
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Volume of the periodical
20
Issue of the periodical within the volume
1
Country of publishing house
SG - SINGAPORE
Number of pages
33
Pages from-to
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UT code for WoS article
000413441800009
EID of the result in the Scopus database
2-s2.0-85011879017