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Displaying 1561 – 1580 of 1635

Whitney covers and quasi-isometry of $L^{s} (μ)$ -averaging domains.

Ding, Shusen, Liu, Bing (2001)

Journal of Inequalities and Applications [electronic only]

Whitney's extension theorem for nonquasianalytic classes of ultradifferentiable functions

J. Bonet, R. Braun, R. Meise, B. Taylor (1991)

Studia Mathematica

Wiener amalgams and summability of Fourier series.

Weisz, Ferenc (2005)

Annales Mathematicae et Informaticae

Wolff's inequality for hypersurfaces.

Izabella Laba, Malabika Pramanik (2006)

Collectanea Mathematica

We extend Wolff's "local smoothing" inequality to a wider class of not necessarily conical hypersurfaces of codimension 1. This class includes surfaces with nonvanishing curvature, as well as certain surfaces with more than one flat direction. An immediate consequence is the Lp-boundedness of the corresponding Fourier multiplier operators.

Zero divisors and $L^{p} (G)$ , II.

Linnell, Peter A., Puls, Michael J. (2001)

The New York Journal of Mathematics [electronic only]

Zeta-Function and analytic renormalization

J. Madore (1980)

Annales de l'I.H.P. Physique théorique

Zygmund's program: some partial solutions

Alexander Stokolos (2005)

Annales de l’institut Fourier

We present a simple criterion to decide whether the maximal function associated with a translation invariant basis of multidimensional intervals satisfies a weak type $(1, 1)$ estimate. This allows us to complete Zygmund’s program of the description of the translation invariant bases of multidimensional intervals in the particular case of products of two cubic intervals. As a conjecture, we suggest a more precise version of Zygmund’s program.

$λ$ -central BMO estimates for commutators of $N$ -dimensional Hardy operators.

Fu, Zun-Wei (2008)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

Ψ-pseudodifferential operators and estimates for maximal oscillatory integrals

Carlos E. Kenig, Wolfgang Staubach (2007)

Studia Mathematica

We define a class of pseudodifferential operators with symbols a(x,ξ) without any regularity assumptions in the x variable and explore their $L^{p}$ boundedness properties. The results are applied to obtain estimates for certain maximal operators associated with oscillatory singular integrals.