Inorganic Chemistry.
Vol. 58.
2019.
P. 2403-2412
Boundedness of multidimensional hausdorff operators in h p spaces, 0 < p < 1
Sufficient conditions, of both smoothness and algebraic type, for the boundedness of multidimensional Hausdorff operators in Hardy spaces Hp(Rn), n ≥ 2, 0 < p < 1, are given. Positive and negative examples illustrate all aspects of the behavior of such operators and reveal the special nature of the case p < 1. © 2018 American Mathematical Society.
Authors
Liflyand E.
1,
2
,
Miyachi A.3
Number of issue
7
Language
English
Pages
4793-4814
Status
Published
Link
Volume
371
Year
2019
Organizations
- 1 Department of Mathematics, Bar-Ilan University, Ramat-Gan, 52900, Israel
- 2 S.M. Nikol’skii Institute of Mathematics, RUDN University, 6 Miklukho-Maklay Street, Moscow, 117198, Russian Federation
- 3 Department of Mathematics, Tokyo Woman’s Christian University, Zempukuji, Suginami-ku, Tokyo, 167-8585, Japan
Keywords
Atomic decomposition; Fourier transform; Hardy space; Hausdorff operator; Smoothness
Date of creation
19.07.2019
Date of change
19.07.2019
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