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Poincare inequalities for powers and products of admissible weights
Linköping University, The Institute of Technology. Linköping University, Department of Mathematics, Applied Mathematics.ORCID iD: 0000-0002-1238-6751
2001 (English)In: Annales Academiae Scientiarum Fennicae Mathematica, ISSN 1239-629X, Vol. 26, no 1, 175-188 p.Article in journal (Refereed) Published
Abstract [en]

Our main result is that if mu is an s-admissible measure in R-n and nu is an element of A(p)(d mu), then the measure d nu = nu d mu is ps-admissible. A two-weighted version of this result is also proved. It is further shown that every strong A(infinity) -weight omega in R-n, n greater than or equal to 2, is n/(n - 1)-admissible, that its power omega (1-1/n) is 1-admissible and that the weights W1-p/n With 1 < p < n are q-admissible for some q < p. A counterexample showing that we cannot take q = 1 in general is also given. Finally, a new class of p-admissible weights is described.

Place, publisher, year, edition, pages
2001. Vol. 26, no 1, 175-188 p.
National Category
Engineering and Technology
URN: urn:nbn:se:liu:diva-49328OAI: diva2:270224
Available from: 2009-10-11 Created: 2009-10-11 Last updated: 2016-05-04

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