A Characterization of Two-Weight Trace Inequalities for Positive Dyadic Operators in the Upper Triangle Case

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• 作者：Hitoshi Tanaka (1)
  
• 关键词：Discrete Wolff’s potential ; Positive dyadic operator ; Two ; weight trace inequality ; Primary 42B20 ; 42B35 ; Secondary 31C45 ; 46E35
• 刊名：Potential Analysis
• 出版年：2014
• 出版时间：August 2014
• 年：2014
• 卷：41
• 期：2
• 页码：487-499
• 全文大小：235 KB
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  11. Sawyer, E.: A characterization of two-weight norm inequalities for fractional and Poisson integrals. Trans. Am. Math. Soc. 308(2), 533-45 (1988) CrossRef
  12. Tanaka, H.: Two-weight norm inequalities for potential type integral operators in the case / p-gt;-em class="a-plus-plus">q-gt;- and / p-gt;-. Stud. Math. 216(1), 1-5 (2013) CrossRef
  13. Tanaka, H., Gunawan, H.: The local trace inequality for potential type integral operators. Potential Anal. 38(2), 653-81 (2013) CrossRef
  14. Tanaka, H., Terasawa Y.: Positive operators and maximal operators in a filtered measure space. J. Funct. Anal. 264(4), 920-46 (2013) CrossRef
  15. Treil, S.: A remark on two-weight estimates for positive dyadic operators. arXiv:1201.1455 (2012)
  
• 作者单位：Hitoshi Tanaka (1)
  
  1. Graduate School of Mathematical Sciences, The University of Tokyo, Tokyo, 153-8914, Japan
  
• ISSN：1572-929X

文摘

Two-weight trace inequalities for positive dyadic operators are characterized in terms of discrete Wolff’s potentials in the upper triangle case.