Weighted Plancherel formula. Irreducible unitary representations and eigenspace representations.
Schatten classes and commutators on simple martingales
Orthogonal polynomials and middle Hankel operators on Bergman spaces
We introduce a sequence of Hankel style operators , 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 and show, among other things, that are cut-off at 1/k. Recall that the big Hankel operator is cut-off at 1 and the small Hankel operator at 0.
Paracommutators of Schatten- von Neumann class S..., 0 < p < 1.
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