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rdf:type
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Description
| - Let 1 < p <= q < +infinity and let v, w be weights on (0, +infinity) satisfying%22 (star) v(x)x(rho) is equivalent to a non-decreasing function on (0, +infinity) for some rho >= 0 and w(x)x](1/q) approximate to [v(x)x](1/p) for all x is an element of (0, +infinity), We prove that if the averaging operator (Af)(x) = 1/x integral(x)(0) f(t)dt, x is an element of (0, +infinity), is bounded from the weighted Lebesgue space L-p(0, +infinity), v) into the weighted Lebesgue space L-q((0, +infinity); w), then there exists epsilon(0) is an element of (0, p - 1) such that the space Lq-epsilon q/p((0, +infinity), w(x)(1+delta)x(delta(1-q/p))x(gamma q/p)) for all epsilon, delta, gamma is an element of [0, epsilon(0)).
- Let 1 < p <= q < +infinity and let v, w be weights on (0, +infinity) satisfying%22 (star) v(x)x(rho) is equivalent to a non-decreasing function on (0, +infinity) for some rho >= 0 and w(x)x](1/q) approximate to [v(x)x](1/p) for all x is an element of (0, +infinity), We prove that if the averaging operator (Af)(x) = 1/x integral(x)(0) f(t)dt, x is an element of (0, +infinity), is bounded from the weighted Lebesgue space L-p(0, +infinity), v) into the weighted Lebesgue space L-q((0, +infinity); w), then there exists epsilon(0) is an element of (0, p - 1) such that the space Lq-epsilon q/p((0, +infinity), w(x)(1+delta)x(delta(1-q/p))x(gamma q/p)) for all epsilon, delta, gamma is an element of [0, epsilon(0)). (en)
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Title
| - Weighted estimates for the averaging integral operator
- Weighted estimates for the averaging integral operator (en)
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skos:prefLabel
| - Weighted estimates for the averaging integral operator
- Weighted estimates for the averaging integral operator (en)
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skos:notation
| - RIV/67985840:_____/10:00342853!RIV11-GA0-67985840
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http://linked.open...avai/riv/aktivita
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http://linked.open...avai/riv/aktivity
| - P(GA201/05/2033), P(GA201/08/0383), Z(AV0Z10190503)
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http://linked.open...iv/cisloPeriodika
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http://linked.open...vai/riv/dodaniDat
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http://linked.open...aciTvurceVysledku
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http://linked.open.../riv/druhVysledku
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http://linked.open...iv/duvernostUdaju
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http://linked.open...titaPredkladatele
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http://linked.open...dnocenehoVysledku
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http://linked.open...ai/riv/idVysledku
| - RIV/67985840:_____/10:00342853
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http://linked.open...riv/jazykVysledku
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http://linked.open.../riv/klicovaSlova
| - averaging integral operator; weighted Lebesgue spaces; weights (en)
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http://linked.open.../riv/klicoveSlovo
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http://linked.open...odStatuVydavatele
| - ES - Španělské království
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http://linked.open...ontrolniKodProRIV
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http://linked.open...i/riv/nazevZdroje
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http://linked.open...in/vavai/riv/obor
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http://linked.open...ichTvurcuVysledku
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http://linked.open...cetTvurcuVysledku
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http://linked.open...vavai/riv/projekt
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http://linked.open...UplatneniVysledku
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http://linked.open...v/svazekPeriodika
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http://linked.open...iv/tvurceVysledku
| - Rákosník, Jiří
- Opic, Bohumír
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http://linked.open...ain/vavai/riv/wos
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http://linked.open...n/vavai/riv/zamer
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issn
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number of pages
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