Quaecumque VeraDepartment of Mathematical and Statistical Sciences

.

Ken Andersen

Ken F. Andersen
Professor Emeritus
Ph.D., University of Toronto

Office: CAB 569
Phone: (780) 492-0571

Fax: (780) 492-6826
Email:


Research Interests

My research interests are generally in the area of real and complex analysis but more particularly in harmonic and Fourier analysis on Euclidean n-space. The properties of various integral operators acting on spaces of measurable functions are frequently the object of investigation in this area and typically require the derivation of suitable estimates and inequalities for sums and integrals as well as the application of certain fundamental principles of functional analysis. In this way the harmonic and Fourier analysis of Euclidean spaces provides a setting in which the motivation and concreteness of classical problems in analysis are blended with the power and elegance of modern abstract techniques.

 

Selected Publications

[1]  Weighted inequalities for maximal functions associated with general measures, Trans. Amer. Soc. 326 (1991), 907-920.

[2] Weighted generalized Hardy inequalities for nonincreasing functions, Canad. J. Math. 43 (1991), 1121-1135.

[3] Weighted inequalities for the Stieltjes transform and the spherical partial sum operator on radial functions, Proc. Royal Soc. Edinburgh 125A (1995), 195-204.

[4] Weighted inequalities for convolutions, Proc. Amer. Math. Soc. 123 (1995), 1129-1136.

[5] Cesaro averaging operators on Hardy spaces, Proc. Royal Soc. Edinburgh 126A (1996), 617-624.

[6] Weighted inequalities for iterated convolutions, Proc. Amer. Math. Soc. 127 (1999), 2643-2651.

[7] Boundedness of Hausdorff operators on Lp(Rn), H1(Rn), and BMO(Rn), Acta. Sci. Math. (Szeged) 69 (2003), 409-418.

[8] Boundedness of the Cesaro averaging operators on Dirichlet spaces, Proc. Royal Soc. Edinburgh 134A (2004), 609-616.

[9] (with P. Mohanty) Restriction and extension of Fourier multipliers between Lp spaces on Rn and Tn, Proc. Amer. Math. Soc. 137 (2009), 1689-1697.

 

Teaching Links

Math 432 Home Page - Intermediate Differential Equations


Department of Mathematical and Statistical Sciences
University of Alberta
632 Central Academic Building
Edmonton, AB T6G 2G1
Phone: 780.492.3396
Fax: 780.492.6826
Last modified 4.16.02

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