THE BOUNDEDNESS OF BILINEAR SINGULAR INTEGRAL OPERATORS ON SIERPINSKI GASKETS
In the paper we give the boundedness estimate of bilinear singular integral operators on Sierpinski gasket inspired from [ 1 ].
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| Published in | Analysis in theory & applications Vol. 27; no. 1; pp. 92 - 100 |
|---|---|
| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Nanjing
Editorial Board of Analysis in Theory and Applications
01.03.2011
Jinan University,China |
| Subjects | |
| Online Access | Get full text |
| ISSN | 1672-4070 1573-8175 |
| DOI | 10.1007/s10496-011-0092-9 |
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| Abstract | In the paper we give the boundedness estimate of bilinear singular integral operators on Sierpinski gasket inspired from [ 1 ]. |
|---|---|
| AbstractList | In the paper we give the boundedness estimate of bilinear singular integral operators on Sierpinski gasket inspired from [1]. O48; In the paper we give the boundedness estimate of bilinear singular integral operators on Sierpinski gasket inspired from[1]. |
| Author | Ming Xu Shengmei Wang |
| AuthorAffiliation | Jinan University, China |
| AuthorAffiliation_xml | – name: Jinan University,China |
| Author_xml | – sequence: 1 givenname: Ming surname: Xu fullname: Xu, Ming email: stxmin@163.com organization: Department of Mathematics, Jinan University – sequence: 2 givenname: Shengmei surname: Wang fullname: Wang, Shengmei organization: Department of Mathematics, Jinan University |
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| Cites_doi | 10.4134/JKMS.2006.43.2.283 10.2307/2006946 10.1006/aima.2001.2028 10.5565/PUBLMAT_53109_11 10.1007/BF02392554 10.1016/0001-8708(79)90012-4 10.1512/iumj.2002.51.2114 10.1090/S0002-9947-01-02912-9 10.5565/PUBLMAT_Esco02_04 |
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| Copyright | Editorial Board of Analysis in Theory and Applications and Springer-Verlag Berlin Heidelberg 2011 Copyright © Wanfang Data Co. Ltd. All Rights Reserved. |
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| Keywords | Sierpinski gaskets bilinear singular integral boundedness 42B20 |
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| Notes | 32-1631/O1 O177.6 O48 boundedness, bilinear singular integral, Sierpinski gaskets |
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| References | Xu (CR10) 2006; 43 Grafakos, Torres (CR8) 2002; 51 CR5 Christ, Journé (CR2) 1987; 159 David, Journé (CR4) 1984; 120 Chousionis (CR1) 2009; 53 Deng, Han (CR3) 1966 Grafakos, Torres (CR6) 2002; 165 Grafakos, Torres (CR7) 2002; 354 Macias, Segovia (CR9) 1979; 33 92_CR5 G. David (92_CR4) 1984; 120 V. Chousionis (92_CR1) 2009; 53 L. Grafakos (92_CR8) 2002; 51 R. A. Macias (92_CR9) 1979; 33 M. Christ (92_CR2) 1987; 159 L. Grafakos (92_CR7) 2002; 354 D. G. Deng (92_CR3) 1966 L. Grafakos (92_CR6) 2002; 165 M. Xu (92_CR10) 2006; 43 |
| References_xml | – year: 1966 ident: CR3 publication-title: Harmonic Analysis on Spaces of Homogeneous Type – volume: 43 start-page: 283 issue: 2 year: 2006 end-page: 296 ident: CR10 article-title: The Boundedness of Some Bilinear Singular Integral Operators on Besov Spaces publication-title: J. Korean Math. Soc. doi: 10.4134/JKMS.2006.43.2.283 – volume: 120 start-page: 371 issue: 2 year: 1984 end-page: 391 ident: CR4 article-title: A Boundeness Criterion for Genralized Cader n-Zygmund Operators publication-title: Ann.of. Math. doi: 10.2307/2006946 – ident: CR5 – volume: 165 start-page: 124 issue: 1 year: 2002 end-page: 164 ident: CR6 article-title: Multilinear Calder n-Zygmund Theory publication-title: Adv. Math. doi: 10.1006/aima.2001.2028 – volume: 53 start-page: 245 issue: 1 year: 2009 end-page: 256 ident: CR1 article-title: Singular Integrals on Sierpinski Gaskets publication-title: Publ. Mat. doi: 10.5565/PUBLMAT_53109_11 – volume: 159 start-page: 51 issue: 1–2 year: 1987 end-page: 80 ident: CR2 article-title: Polynomial Growth Estimates for Multilear Singular Integral Operators publication-title: Acta. Math. doi: 10.1007/BF02392554 – volume: 33 start-page: 257 issue: 3 year: 1979 end-page: 270 ident: CR9 article-title: Lipschitz Functions on Spaces of Homogeneous type publication-title: Adv. in Math. doi: 10.1016/0001-8708(79)90012-4 – volume: 51 start-page: 1261 issue: 5 year: 2002 end-page: 1276 ident: CR8 article-title: Maximal Operator and Weighted Norm Inequalities for Multilinear Singular Integrals publication-title: Indiana Univ. Math. J. doi: 10.1512/iumj.2002.51.2114 – volume: 354 start-page: 1153 issue: 3 year: 2002 end-page: 1176 ident: CR7 article-title: Discrete Decompositions for Bilinear Operators and Almost Diagonal Conditions publication-title: Trans. Amer. Math. Soc. doi: 10.1090/S0002-9947-01-02912-9 – volume: 51 start-page: 1261 issue: 5 year: 2002 ident: 92_CR8 publication-title: Indiana Univ. Math. J. doi: 10.1512/iumj.2002.51.2114 – volume: 354 start-page: 1153 issue: 3 year: 2002 ident: 92_CR7 publication-title: Trans. Amer. Math. Soc. doi: 10.1090/S0002-9947-01-02912-9 – volume: 53 start-page: 245 issue: 1 year: 2009 ident: 92_CR1 publication-title: Publ. Mat. doi: 10.5565/PUBLMAT_53109_11 – volume: 159 start-page: 51 issue: 1–2 year: 1987 ident: 92_CR2 publication-title: Acta. Math. doi: 10.1007/BF02392554 – ident: 92_CR5 doi: 10.5565/PUBLMAT_Esco02_04 – volume: 33 start-page: 257 issue: 3 year: 1979 ident: 92_CR9 publication-title: Adv. in Math. doi: 10.1016/0001-8708(79)90012-4 – volume: 120 start-page: 371 issue: 2 year: 1984 ident: 92_CR4 publication-title: Ann.of. Math. doi: 10.2307/2006946 – volume: 165 start-page: 124 issue: 1 year: 2002 ident: 92_CR6 publication-title: Adv. Math. doi: 10.1006/aima.2001.2028 – volume: 43 start-page: 283 issue: 2 year: 2006 ident: 92_CR10 publication-title: J. Korean Math. Soc. doi: 10.4134/JKMS.2006.43.2.283 – volume-title: Harmonic Analysis on Spaces of Homogeneous Type year: 1966 ident: 92_CR3 |
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| Snippet | In the paper we give the boundedness estimate of bilinear singular integral operators on Sierpinski gasket inspired from [ 1 ]. In the paper we give the boundedness estimate of bilinear singular integral operators on Sierpinski gasket inspired from [1]. O48; In the paper we give the boundedness estimate of bilinear singular integral operators on Sierpinski gasket inspired from[1]. |
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| SubjectTerms | Analysis Approximations and Expansions Mathematics Sierpinski垫片 Sierpinski镂垫 估计 双线性 奇异积分算子 有界性 |
| Title | THE BOUNDEDNESS OF BILINEAR SINGULAR INTEGRAL OPERATORS ON SIERPINSKI GASKETS |
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