Hausdorff operators on the Heisenberg group
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| 001 | 60546233X | ||
| 003 | CHVBK | ||
| 005 | 20210128100247.0 | ||
| 007 | cr unu---uuuuu | ||
| 008 | 210128e20151101xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1007/s10114-015-5109-4 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10114-015-5109-4 | ||
| 245 | 0 | 0 | |a Hausdorff operators on the Heisenberg group |h [Elektronische Daten] |c [Jiu Guo, Li Sun, Fa Zhao] |
| 520 | 3 | |a This paper is devoted to the high-dimensional and multilinear Hausdorff operators on the Heisenberg group H n . The sharp bounds for the strong type (p, p) (1 ≤ p ≤ ∞) estimates of n-dimensional Hausdorff operators on H n are obtained. The sharp bounds for strong (p, p) estimates are further extended to multilinear cases. As an application, we derive the sharp constant for the multilinear Hardy operator on H n . The weak type (p, p) (1 ≤ p≤∞) estimates are also obtained. Keywords Hausdorff operator, Heisenberg group, multilinear, sharp estimate | |
| 540 | |a Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 | ||
| 690 | 7 | |a Hausdorff operator |2 nationallicence | |
| 690 | 7 | |a Heisenberg group |2 nationallicence | |
| 690 | 7 | |a multilinear |2 nationallicence | |
| 690 | 7 | |a sharp estimate |2 nationallicence | |
| 700 | 1 | |a Guo |D Jiu |u Department of Mathematics, Shanghai University, 200444, Shanghai, P. R. China |4 aut | |
| 700 | 1 | |a Sun |D Li |u Department of Mathematical Sciences, University of Wisconsin-Milwaukee, 53201, Milwaukee, WI, USA |4 aut | |
| 700 | 1 | |a Zhao |D Fa |u Department of Mathematics, Shanghai University, 200444, Shanghai, P. R. China |4 aut | |
| 773 | 0 | |t Acta Mathematica Sinica, English Series |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society |g 31/11(2015-11-01), 1703-1714 |x 1439-8516 |q 31:11<1703 |1 2015 |2 31 |o 10114 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10114-015-5109-4 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10114-015-5109-4 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Guo |D Jiu |u Department of Mathematics, Shanghai University, 200444, Shanghai, P. R. China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Sun |D Li |u Department of Mathematical Sciences, University of Wisconsin-Milwaukee, 53201, Milwaukee, WI, USA |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Zhao |D Fa |u Department of Mathematics, Shanghai University, 200444, Shanghai, P. R. China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Acta Mathematica Sinica, English Series |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society |g 31/11(2015-11-01), 1703-1714 |x 1439-8516 |q 31:11<1703 |1 2015 |2 31 |o 10114 | ||