Výsledky vyhledávání - "K. F. Andersen"

Weighted Norm Inequalities for Certain Integral Operators

Publikováno v: SIAM Journal on Mathematical Analysis. 14:834-844

Conditions on the nonnegative weight functions $u(x)$ and $v(x)$ are given which ensure that an inequality of the form $(\int {| {(Tf)(x)u(x)} |^q dx} )^{{1 /q}} \leq C(\int {| {f(x)v(x)} |^p dx} )^{{1 /p}} $ holds where T is an integral operator of

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::8936a95ebe9a46b16bce8887186c2783
https://doi.org/10.1137/0514064

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Weighted norm inequalities for the Riemann-Liouville and Weyl fractional integral operators

Autor: K. F. Andersen, E. T. Sawyer

Publikováno v: Transactions of the American Mathematical Society. 308:547-558

The weight functions u ( x ) u(x) for which R α {R_\alpha } , the Riemann-Liouville fractional integral operator of order α > 0 \alpha > 0 , is bounded from L p ( u p d x ) {L^p}({u^p}\,dx) to L q ( u q d x ) {L^q}({u^q}\,dx) , 1 > p > 1 / α 1 > p

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::f2a22fc6b435cb4c854845c7e6f1ebb4
https://doi.org/10.1090/s0002-9947-1988-0930071-4

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