Boundedness of Multidimensional Dunkl-Hausdorff Operators
نویسندگان
چکیده
منابع مشابه
Boundedness of Multidimensional Hausdorff Operators on L and H Spaces
For a wide family of multivariate Hausdorff operators, a new stronger condition for the boundedness of an operator from this family on the real Hardy space H by means of atomic decomposition. 2000 Mathematics Subject Classification. Primary 47B38, 42B10; Secondary 46E30.
متن کاملMultidimensional Hausdorff Operators on the Real Hardy Space
For a wide family of multivariate Hausdorff operators, the boundedness of an operator from this family is proved on the real Hardy space. By this we extend and strengthen previous results due to Andersen and Moricz. 2000 Mathematics subject classification: primary 47B38, 42B10; secondary 46E30.
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These lecture notes are intended as an introduction to the theory of rational Dunkl operators and the associated special functions, with an emphasis on positivity and asymptotics. We start with an outline of the general concepts: Dunkl operators, the intertwining operator, the Dunkl kernel and the Dunkl transform. We point out the connection with integrable particle systems of Calogero-MoserSut...
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The one-dimensional Dunkl operator Dk with a non-negative parameter k, is considered under an arbitrary nonlocal boundary value condition. The right inverse operator of Dk, satisfying this condition is studied. An operational calculus of Mikusiński type is developed. In the frames of this operational calculi an extension of the Heaviside algorithm for solution of nonlocal Cauchy boundary value ...
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ژورنال
عنوان ژورنال: Journal of Function Spaces
سال: 2020
ISSN: 2314-8896,2314-8888
DOI: 10.1155/2020/1071746