Multilinear rough singular integral operators

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F24%3A10492775" target="_blank" >RIV/00216208:11320/24:10492775 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=ANG2xAVhF7" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=ANG2xAVhF7</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1112/jlms.12867" target="_blank" >10.1112/jlms.12867</a>

Result language
angličtina
Original language name
Multilinear rough singular integral operators
Original language description
We study m$m$-linear homogeneous rough singular integral operators L omega$mathcal {L}_{Omega }$ associated with integrable functions omega$Omega$ on Smn-1$mathbb {S}<^>{mn-1}$ with mean value zero. We prove boundedness for L omega$mathcal {L}_{Omega }$ from Lp1xMIDLINE HORIZONTAL ELLIPSISxLpm$L<^>{p_1}times cdots times L<^>{p_m}$ to Lp$L<^>p$ when 1<p1,MIDLINE HORIZONTAL ELLIPSIS,pm<infinity$1<p_1,dots, p_m<infty$ and 1/p=1/p1+MIDLINE HORIZONTAL ELLIPSIS+1/pm$1/p=1/p_1+cdots +1/p_m$ in the largest possible open set of exponents when omega is an element of Lq(Smn-1)$Omega in L<^>q(mathbb {S}<^>{mn-1})$ and q > 2$qgeqslant 2$. This set can be described by a convex polyhedron in Rm$mathbb {R}<^>m$.
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
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA21-01976S" target="_blank" >GA21-01976S: Geometric and Harmonic Analysis 2</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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