On a semigroup of measures with irregular densities

Przemysław Gadziński

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Oscillations of anharmonic Fourier series and the wave equation.

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In this paper we have collected some partial results on the sign of u(t,x) where u is a (sufficiently regular) solution of ⎧ u_tt + (-1)^m Δ^mu = 0 (t,x) ∈ R x Ω ⎨ ⎩ u_|Γ = ... = Δ^m-1 u_|Γ = 0 t ∈ R. These results rely on the study of a sign of almost periodic functions of a special...

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Orthogonal polynomials and middle Hankel operators on Bergman spaces

Lizhong Peng, Richard Rochberg, Zhijian Wu (1992)

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We introduce a sequence of Hankel style operators $H^{k}$ , k = 1,2,3,..., which act on the Bergman space of the unit disk. These operators are intermediate between the classical big and small Hankel operators. We study the boundedness and Schatten-von Neumann properties of the $H^{k}$ and show, among other things, that $H^{k}$ are cut-off at 1/k. Recall that the big Hankel operator is cut-off at 1 and the small Hankel operator at 0.

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Tail and moment estimates for some types of chaos

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Let $X_{i}$ be a sequence of independent symmetric real random variables with logarithmically concave tails. We consider a variable $X = \sum_{i \neq j} a_{i, j} X_{i} X_{j}$ , where $a_{i, j}$ are real numbers. We derive approximate formulas for the tails and moments of X and of its decoupled version, which are exact up to some universal constants.

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Weak type (1,1) estimates of the maximal function for the Laguerre semigroup in finite dimensions.

Ulla Dinger (1992)

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