Boundedness of Stein?s spherical maximal function in variable Lebesgue spaces and application to the wave equation

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F13%3A00393004" target="_blank" >RIV/67985840:_____/13:00393004 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s00013-013-0509-0" target="_blank" >http://dx.doi.org/10.1007/s00013-013-0509-0</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00013-013-0509-0" target="_blank" >10.1007/s00013-013-0509-0</a>

Result language
angličtina
Original language name
Boundedness of Stein?s spherical maximal function in variable Lebesgue spaces and application to the wave equation
Original language description
If p():R n (0,),n3 , is globally log-Hölder continuous and its infimum p and its supremum p + are such that n n1 <p p + <p (n1) , then the spherical maximal operator (integral averages taken with respect to the (n 1)-dimensional surface measure) is bounded. When n = 3, the result is then interpreted as the preservation of the integrability properties of the initial velocity of propagation to the solution of the initial-value problem for the wave equation.
Czech name
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Czech description
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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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Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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