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  • Some new integral conditions characterising the embedding .LAMBDA.p(v)... .GAMA.q (w), 0 < p,q < .nekonečno are presented, including proofs also for the cases (i) p = .nekonečno., 0 < q <.nekonečno., (ii) q =.nekonečno., 1 < p < .nekonečno. and (iii) p = q = .nekonečno. Only one condition is necessary for each case which means that our conditions are different from and simpler than other corresponding conditions in the literature. We even prove our results in a more general frame namely when the space .GAMA.q(w) is replaced by the more general space .GAMA. q/u(w). In our proof we use a technique of discretisation and anti-discretisation developed by A. Gogatishvili and L. Pick, where they considered the opposite embedding.
  • Some new integral conditions characterising the embedding .LAMBDA.p(v)... .GAMA.q (w), 0 < p,q < .nekonečno are presented, including proofs also for the cases (i) p = .nekonečno., 0 < q <.nekonečno., (ii) q =.nekonečno., 1 < p < .nekonečno. and (iii) p = q = .nekonečno. Only one condition is necessary for each case which means that our conditions are different from and simpler than other corresponding conditions in the literature. We even prove our results in a more general frame namely when the space .GAMA.q(w) is replaced by the more general space .GAMA. q/u(w). In our proof we use a technique of discretisation and anti-discretisation developed by A. Gogatishvili and L. Pick, where they considered the opposite embedding. (en)
  • Byly nalezeny integrální podmínky charakterizující vnoření .LAMBDA.p(v) ... .GAMA.q(w) pro jisté hodnoty parametrů p a q. Získané podmínky jsou odlišné a jednodušší než dosud známé podmínky. Naše výsledky platí i v obecnějším měřítku. Používáme techniku diskretizace a antidiskretizace, kterou vyvinuli A. Gogatishvili a L. Pick, kteří studovali opačné vnoření. (cs)
Title
  • Characterisation of Embeddings in Lorentz Spaces
  • Characterisation of Embeddings in Lorentz Spaces (en)
  • Charakterizace vnoření v Lorentzových prostorech (cs)
skos:prefLabel
  • Characterisation of Embeddings in Lorentz Spaces
  • Characterisation of Embeddings in Lorentz Spaces (en)
  • Charakterizace vnoření v Lorentzových prostorech (cs)
skos:notation
  • RIV/67985840:_____/07:00087073!RIV08-AV0-67985840
http://linked.open.../vavai/riv/strany
  • 69;92
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/05/2033), Z(AV0Z10190503)
http://linked.open...iv/cisloPeriodika
  • 1
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 413298
http://linked.open...ai/riv/idVysledku
  • RIV/67985840:_____/07:00087073
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • non-increasing rearrangement; Lorentz spaces; weights (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • AU - Australské společenství
http://linked.open...ontrolniKodProRIV
  • [030F1DB6A269]
http://linked.open...i/riv/nazevZdroje
  • Bulletin of the Australian Mathematical Society
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 76
http://linked.open...iv/tvurceVysledku
  • Gogatishvili, Amiran
  • Johansson, M.
  • Persson, L. E.
  • Okpoti, C. A.
http://linked.open...n/vavai/riv/zamer
issn
  • 0004-9727
number of pages
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