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Research reports by Tuomas Hytönen

Here are the reports authored by Tuomas Hytönen. See the reports of all authors.

Helsinki University of Technology Institute of Mathematics Reports C

C16

Tuomas Hytönen

R-boundedness and multiplier theorems   [pdf][ps]

Received 2000-04-23 * Fourier-multiplier, R-boundedness, UMD-space, Schauder decomposition, martingale, Hilbert transform, Riesz projection, Rademacher functions * AMS 42B15 (Primary), 42A61, 46B09, 46B15, 46E40, 60G42 (Secondary) * 140 pages

Helsinki University of Technology Institute of Mathematics Research Reports A

A461

Tuomas Hytönen

Vector-valued wavelets and the Hardy space H^1(R^n;X)   [pdf][ps] abstract: [pdf][ps]

Received 2003-04-23 * Wavelet basis, atomic decomposition, generalized Calder on{Zygmund op- erators, UMD-space * AMS 42B30, 42C40, 46E40 * 23 pages

A458

Tuomas Hytönen

Translation-invariant Operators on Spaces of Vector-valued Functions   [pdf][ps] abstract: [pdf][ps]

Received 2003-04-06 * Operator-valued Fourier multipliers; singular convolution integrals; Hardy, Lebesgue-Bochner and Besov spaces of vector-valued functions; Mihlin's theorem; Hörmander's intergral equation R-boundedness; UMD spaces; Fourier embeddings; evolution equations; maximal regularity * AMS 42B15, 42B20, 46E40 (Primary) 34G10, 42B30, 42B35, 46B09 (Secondary) * 194 pages

A446

Tuomas Hytönen

R-Boundedness is Necessary for Multipliers on H1   [pdf][ps]

Received 2002-02-28 * Operator-valued Fourier-multiplier, Hardy space, maximal regularity * AMS 47B38 (Primary) 42B15 (Secondary)

A444

Tuomas Hytönen

Convolutions, Multipliers and Maximal Regularity on Vector-Valued Hardy Spaces   [pdf][ps]

Received 2001-12-30 * Operator-valued Fourier-multiplier, Hardy space, maximal regularity * AMS 47B38 (Primary) 42B15 (Secondary)

A443

Tuomas Hytönen

Existence and Regularity of Solutions of the Korteweg - de Vries Equations and Generalizations   [pdf][ps]

Received 2001-12-30 * Korteweg--de Vries equation, quasi-linear evolution equations, one-parameter semigroups of linear operators * AMS 35Q53 (Primary) 34G20 (Secondary)

A432

Tuomas Hytönen

Optimal Wrap-Around Network Simulation   [pdf][ps]

Received 2000-12-30 * Simulation, cellular network, wrap-around, grid size, tiling * AMS 90B18 (Primary) 52C20, 51M20, 68U20 (Secondary)