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- Persson, Lars-ErikLuleå tekniska universitet,Uppsala universitet,Tillämpad matematik,Matematiska vetenskaper (author)
Some scales of equivalent weight characterizations of Hardy´s inequality: the case q < p
- Article/chapterEnglish2007
Publisher, publication year, extent ...
- Element d.o.o.2007
- printrdacarrier
Numbers
- LIBRIS-ID:oai:DiVA.org:uu-13429
- https://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-13429URI
- https://urn.kb.se/resolve?urn=urn:nbn:se:ltu:diva-10235URI
- https://doi.org/10.7153/mia-10-23DOI
Supplementary language notes
- Language:English
- Summary in:English
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- SwePubSwePub
Classification
Notes
- Validerad; 2007; 20070831 (ysko)
- We consider the weighted Hardy inequality 1/q 1/p q ∞ ∞ x f p (x)v(x)dx f (t)dt u(x)dx C 0 0 0for the case 0 < q < p < ∞, p > 1 . The weights u(x) and v(x) for which this inequalityholds for all f (x) 0 may be characterized by the Mazya-Rosin or by the Persson-Stepanovconditions. In this paper, we show that these conditions are not unique and can be supplementedby some continuous scales of conditions and we prove their equivalence. The results for the dualoperator which do not follow by duality when 0 < q < 1 are also given.
Subject headings and genre
- NATURVETENSKAP Matematik hsv//swe
- NATURAL SCIENCES Mathematics hsv//eng
- NATURVETENSKAP Matematik Matematisk analys hsv//swe
- NATURAL SCIENCES Mathematics Mathematical Analysis hsv//eng
- integral inequalities
- weighted Hardy’s inequality
- MATHEMATICS
- MATEMATIK
- Matematik
Added entries (persons, corporate bodies, meetings, titles ...)
- Stepanov, Vladimir (author)
- Wall, Peter (author)
- Uppsala universitetTillämpad matematik (creator_code:org_t)
Related titles
- In:Mathematical Inequalities & Applications: Element d.o.o.10:2, s. 267-2791331-43431848-9966
Internet link
- http://www.ele-math.com/cont.asp?what=miacont&vol=10
- https://ltu.diva-portal.org/smash/get/diva2:983175/FULLTEXT01.pdffulltext:print
- http://files.ele-math.com/abstracts/mia-10-23-abs.pdf
- https://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-13429
- https://urn.kb.se/resolve?urn=urn:nbn:se:ltu:diva-10235
- https://doi.org/10.7153/mia-10-23
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