Higher Order Riesz Transforms in the Ultraspherical Setting as Principal Value Integral Operators
Author:
Publisher
Springer Science and Business Media LLC
Subject
Algebra and Number Theory,Analysis
Link
http://link.springer.com/content/pdf/10.1007/s00020-011-1880-5.pdf
Reference13 articles.
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2. Buraczewski D., Martínez T., Torrea J.L.: Calderón-Zygmund operators associated to ultraspherical expansions. Canad. J. Math. 59(6), 1223–1244 (2007)
3. Campbell J.T., Jones R.L., Reinhold K., Wierdl M.: Oscillation and variation for the Hilbert transform. Duke Math. J. 105(1), 59–83 (2000)
4. Campbell J.T., Jones R.L., Reinhold K., Wierdl M.: Oscillation and variation for singular integrals in higher dimensions. Trans. Am. Math. Soc. 355(5), 2115–2137 (2003)
5. Gillespie T.A., Torrea J.L.: Dimension free estimates for the oscillation of Riesz transforms. Israel J. Math. 141, 125–144 (2004)
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1. Higher-Order Riesz Transforms in the Inverse Gaussian Setting and UMD Banach Spaces;Journal of Function Spaces;2021-11-10
2. $L^p $ boundedness of Riesz transforms for orthogonal polynomials in a general context;Studia Mathematica;2016
3. Riesz–Jacobi Transforms as Principal Value Integrals;Journal of Fourier Analysis and Applications;2015-09-30
4. Calderón-Zygmund Operators Related to Jacobi Expansions;Journal of Fourier Analysis and Applications;2012-02-02
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