CONVOLUTION IN WEIGHTED LORENTZ SPACES OF TYPE Gamma

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F16%3A10372620" target="_blank" >RIV/00216208:11320/16:10372620 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.7146/math.scand.a-24187" target="_blank" >http://dx.doi.org/10.7146/math.scand.a-24187</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.7146/math.scand.a-24187" target="_blank" >10.7146/math.scand.a-24187</a>

Result language
angličtina
Original language name
CONVOLUTION IN WEIGHTED LORENTZ SPACES OF TYPE Gamma
Original language description
We characterize boundedness of the convolution operator between weighted Lorentz spaces Gamma(P) (v) and Gamma(q) (w) for the range of parameters p, q is an element of [1, infinity], or p is an element of (0, 1) and q is an element of {1, infinity} or p = infinity and q is an element of (0, 1). We provide Young-type convolution inequalities of the form parallel to f * g parallel to Gamma(q) (omega) <= C parallel to f parallel to Gamma(p) (v) parallel to g parallel to Y, f is an element of Gamma(p)(v), g is an element of Y, characterizing the optimal rearrangement-invariant space Y for which the inequality is satisfied.
Czech name
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Czech description
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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

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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