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Results 26 - 29 of 29 |
26. CMB 1998 (vol 41 pp. 478)
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Convolution with measures on curves in $\bbd R^3$ We study convolution properties of measures on the curves
$(t^{a_1}, t^{a_2}, t^{a_3})$ in $\hbox{\Bbbvii R}^3$.
Categories:42B15, 42B20 |
27. CMB 1998 (vol 41 pp. 306)
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Oscillatory integrals with nonhomogeneous phase functions related to Schrödinger equations In this paper we consider solutions to the free Schr\" odinger
equation in $n+1$ dimensions. When we restrict the last variable
to be a smooth function of the first $n$ variables we find that the
solution, so restricted, is locally in $L^2$, when the initial data
is in an appropriate Sobolev space.
Categories:42A25, 42B25 |
28. CMB 1997 (vol 40 pp. 296)
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A general approach to Littlewood-Paley theorems for orthogonal families A general lacunary Littlewood-Paley type theorem is proved, which applies in a
variety of settings including Jacobi polynomials in $[0, 1]$, $\su$, and the
usual classical trigonometric series in $[0, 2 \pi)$. The theorem is used to
derive new results for $\LP$ multipliers on $\su$ and Jacobi $\LP$ multipliers.
Categories:42B25, 42C10, 43A80 |
29. CMB 1997 (vol 40 pp. 169)
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The class $A^{+}_{\infty}(\lowercase{g})$ and the one-sided reverse Hölder inequality We give a direct proof that $w$ is an $A^{+}_{\infty}(g)$ weight if and only
if $w$ satisfies a one-sided, weighted reverse H\"older inequality.
Keywords:one-sided maximal operator, one-sided $(A_\infty)$, one-sided, reverse Hölder inequality Category:42B25 |
