Non-absolutely convergent integrals with respect to distributions

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F14%3A10289807" target="_blank" >RIV/00216208:11320/14:10289807 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s10231-013-0338-6" target="_blank" >http://dx.doi.org/10.1007/s10231-013-0338-6</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10231-013-0338-6" target="_blank" >10.1007/s10231-013-0338-6</a>

Result language
angličtina
Original language name
Non-absolutely convergent integrals with respect to distributions
Original language description
We define an integral of a function with respect to a distribution. In case that the underlying distribution is just the Lebesgue measure, the definition leads to a new non-absolutely convergent integral which is wider than the Denjoy-Perron integral. Wepresent a version of the Gauss-Green theorem where the new integral is used for both interior and boundary terms. As a by-product, we characterize the predual Sobolev space W (1,1).
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
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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