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rdf:type
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Description
| - Let 1 < p q < + and v, w be weights on (0, +) such that v(x)xρ is equivalent to a non-decreasing function on (0, +) for some ρ 0, and ... First, we prove that the operator ... if and only if the operator ... Second, we show that the boundedness of the averaging operator A on the space Lp((0, +); v) implies that, for all r > 0, the weight v1-p' satisfies the reverse Hlder inequality over the interval (0, r) with respect to the measure dt, while the weight v satisfies the reverse Hlder inequality over the interval (r, +) with respect to the measure t-p dt. As a corollary, we obtain that the boundedness of the averaging operator A on the space Lp((0, +); v) is equivalent to the boundedness of the averaging operator A on the space Lp((0, +); v1+δ) for some δ > 0.
- Let 1 < p q < + and v, w be weights on (0, +) such that v(x)xρ is equivalent to a non-decreasing function on (0, +) for some ρ 0, and ... First, we prove that the operator ... if and only if the operator ... Second, we show that the boundedness of the averaging operator A on the space Lp((0, +); v) implies that, for all r > 0, the weight v1-p' satisfies the reverse Hlder inequality over the interval (0, r) with respect to the measure dt, while the weight v satisfies the reverse Hlder inequality over the interval (r, +) with respect to the measure t-p dt. As a corollary, we obtain that the boundedness of the averaging operator A on the space Lp((0, +); v) is equivalent to the boundedness of the averaging operator A on the space Lp((0, +); v1+δ) for some δ > 0. (en)
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Title
| - The averaging integral operator between weighted Lebesgue spaces and reverse Hölder inequalities
- The averaging integral operator between weighted Lebesgue spaces and reverse Hölder inequalities (en)
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skos:prefLabel
| - The averaging integral operator between weighted Lebesgue spaces and reverse Hölder inequalities
- The averaging integral operator between weighted Lebesgue spaces and reverse Hölder inequalities (en)
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skos:notation
| - RIV/67985840:_____/10:00342832!RIV11-GA0-67985840
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http://linked.open...avai/riv/aktivita
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http://linked.open...avai/riv/aktivity
| - P(GA201/08/0383), 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:_____/10:00342832
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http://linked.open...riv/jazykVysledku
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http://linked.open.../riv/klicovaSlova
| - averaging integral operator; weighted Lebesque spaces; weights; Hardy-type inequalities; reverse Höldet inequalities (en)
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http://linked.open.../riv/klicoveSlovo
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http://linked.open...odStatuVydavatele
| - GB - Spojené království Velké Británie a Severního Irska
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http://linked.open...ontrolniKodProRIV
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http://linked.open...i/riv/nazevZdroje
| - Complex Variables and Elliptic Equations. An International Journal
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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
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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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