منابع مشابه
Norms of Positive Operators on LP-Spaces
Let 0 < T: LP(Y, v) -+ Lq(X, ) be a positive linear operator and let HITIP ,q denote its operator norm. In this paper a method is given to compute 1Tllp, q exactly or to bound 11Tllp q from above. As an application the exact norm 11VIlp,q of the Volterra operator Vf(x) = fo f(t)dt is computed.
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Fliess operators as input–output mappings are particularly useful in a number of fundamental problems concerning nonlinear realization theory. In the classical analysis of these operators, certain growth conditions on the coe3cients in their series representations insure uniform and absolute convergence, provided every input is uniformly bounded by some 4xed upperbound. In some emerging applica...
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متن کاملLp Estimates for Marcinkiewicz integral operators and extrapolation
*Correspondence: [email protected] Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid, Jordan Abstract In this article, we establish Lp estimates for parametric Marcinkiewicz integral operators with rough kernels. These estimates and extrapolation arguments improve and extend some known results on Marcinkiewicz integrals. MSC: Primary 40B20; secondary 4...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1973
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1973.46.451