Displaying similar documents to “Discrete Wiener-Hopf operators on spaces with Muckenhoupt weight”

Orthogonal polynomials and middle Hankel operators on Bergman spaces

Lizhong Peng, Richard Rochberg, Zhijian Wu (1992)

Studia Mathematica

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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.

A variant sharp estimate for multilinear singular integral operators

Guoen Hu, Dachun Yang (2000)

Studia Mathematica

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We establish a variant sharp estimate for multilinear singular integral operators. As applications, we obtain the weighted norm inequalities on general weights and certain L l o g + L type estimates for these multilinear operators.

On a semigroup of measures with irregular densities

Przemysław Gadziński (2000)

Colloquium Mathematicae

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We study the densities of the semigroup generated by the operator - X 2 + | Y | on the 3-dimensional Heisenberg group. We show that the 7th derivatives of the densities have a jump discontinuity. Outside the plane x=0 the densities are C ∞ . We give explicit spectral decomposition of images of - X 2 + | Y | in representations.

Tail and moment estimates for some types of chaos

Rafał Latała (1999)

Studia Mathematica

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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 = ∑ i ≠ 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.