Almost everywhere convergence of Walsh Fourier series of -functions
N. Ladhawala, D. Pankratz (1976)
Studia Mathematica
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N. Ladhawala, D. Pankratz (1976)
Studia Mathematica
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Franz Lehner (1998)
Colloquium Mathematicae
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Jonathan Cohen (1980)
Studia Mathematica
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Jau Chen, In Hwang (1981)
Studia Mathematica
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Przemysław Gadziński (2000)
Colloquium Mathematicae
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We study the densities of the semigroup generated by the operator 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 . We give explicit spectral decomposition of images of in representations.
Chin-Cheng Lin (1995)
Revista Matemática Iberoamericana
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We give a Hörmander-type sufficient condition on an operator-valued function M that implies the L-boundedness result for the operator T defined by (Tf)^ = Mf^ on the (2n + 1)-dimensional Heisenberg group H. Here ^ denotes the Fourier transform on H defined in terms of the Fock representations. We also show the H-L boundedness of T, ||Tf|| ≤ C||f||, for H under the same hypotheses of L-boundedness.
J. Meder (1958)
Annales Polonici Mathematici
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Lizhong Peng, Richard Rochberg, Zhijian Wu (1992)
Studia Mathematica
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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.
Chang-Pao Chen, Chin-Cheng Lin (1994)
Studia Mathematica
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A. Pełczyński (1967)
Studia Mathematica
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