Article Title
Abstract
In this article, we establish conditions on continuous restrictively bounded linear mapping T from S to S′ associated withthe kernel K under which the operator T extends to a bounded operator T: Lp(Rl) → Lp(Rl). Next, we generalize the interpolationtheorem for new functional classes, we show that bounded operator T defined, whose kernel satisfies the standard conditions, is bounded()()with respect to convex seminorm, so, an inequalityM1−1M1 (|T (f)|)≤A1M1−1M(| f |)µ1µ holdsfortheconstantA1 thatdepends only on A, M1, M2.
Suggested Reviewers
N/A
Digital Object Identifier (DOI)
http://dx.doi.org/10.18576/amis/150112
Recommended Citation
Yaremenko, Mykola
(2021)
"Calderon-Zygmund Operators and Singular Integrals,"
Applied Mathematics & Information Sciences: Vol. 15
:
Iss.
1
, Article 13.
DOI: http://dx.doi.org/10.18576/amis/150112
Available at:
https://dc.naturalspublishing.com/amis/vol15/iss1/13