Estimates for imaginary powers of the Laplace operator in variable Lebesgue spaces and applications
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F14%3A00433864" target="_blank" >RIV/67985840:_____/14:00433864 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.3103/S1068362314050045" target="_blank" >http://dx.doi.org/10.3103/S1068362314050045</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3103/S1068362314050045" target="_blank" >10.3103/S1068362314050045</a>
Alternative languages
Result language
angličtina
Original language name
Estimates for imaginary powers of the Laplace operator in variable Lebesgue spaces and applications
Original language description
In this paper we study some estimates of norms in variable exponent Lebesgue spaces for singular integral operators that are imaginary powers of the Laplace operator in $R^n$. Using the Mellin transform argument, from these estimates we obtain the boundedness for a family of maximal operators in variable exponent Lebesgue spaces, which are closely related to the (weak) solution of the wave equation.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GA13-14743S" target="_blank" >GA13-14743S: Function spaces, weighted inequalities and interpolation II</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Contemporary Mathematical Analysis-Armenian Academy of Sciences
ISSN
1068-3623
e-ISSN
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Volume of the periodical
49
Issue of the periodical within the volume
5
Country of publishing house
AM - ARMENIA
Number of pages
9
Pages from-to
232-240
UT code for WoS article
000344323500004
EID of the result in the Scopus database
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