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Singular oscillatory integrals on R(n)
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).
2010 (English)In: Mathematische Zeitschrift, ISSN 0025-5874, E-ISSN 1432-1823, Vol. 266, no 1, 169-179 p.Article in journal (Refereed) Published
Abstract [en]

Let P(d,n) denote the space of all real polynomials of degree at most d on R(n). We prove a new estimate for the logarithmic measure of the sublevel set of a polynomial P is an element of P(d,1). Using this estimate, we prove that [GRAPHICS] for some absolute positive constant c and every function ohm with zero mean value on the unit sphere S(n-1). This improves a result of Stein (Ann Math Stud 112: 307-355, 1986).

Place, publisher, year, edition, pages
2010. Vol. 266, no 1, 169-179 p.
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URN: urn:nbn:se:kth:diva-46626DOI: 10.1007/s00209-009-0559-yISI: 000279837200009ScopusID: 2-s2.0-77954543513OAI: diva2:455699
QC 20111111Available from: 2011-11-11 Created: 2011-11-04 Last updated: 2011-11-11Bibliographically approved

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Parissis, Ioannis
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