On embeddings of logarithmic Bessel potential and Sobolev-type spaces
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60460709%3A_____%2F00%3A00000460" target="_blank" >RIV/60460709:_____/00:00000460 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
On embeddings of logarithmic Bessel potential and Sobolev-type spaces
Original language description
We present a survey of recently obtained embedding theorems for certain logarithmic Bessel potential spaces modelled upon generalized Lorenz-Zygmund (GLZ) spaces. The target spaces may be of GLZ, Orlicz or Holder-type. In particular, we get refinements of the Sobolev embedding theorems, Trudinger´s limiting enbedding as well as embeddings of Sobolev spaces into spaces of Holder-continuous functions including the result of Brézis and Wainger.
Czech name
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Czech description
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Classification
Type
C - Chapter in a specialist book
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GA201%2F97%2F0744" target="_blank" >GA201/97/0744: Weighted inequalities for integral operators</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2000
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Book/collection name
Function spaces, differential operators and nonlinear analysis
ISBN
80-85823-42-X
Number of pages of the result
12
Pages from-to
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Number of pages of the book
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Publisher name
Matematický ústav AV ČR
Place of publication
Praha
UT code for WoS chapter
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