Integral representations for Riesz systems in the unit ball and some applications
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Abstract:
We introduce $A_\alpha ^p$ spaces of systems of harmonic functions satisfying Cauchy-Riemann equations in ${{\mathbf {R}}^{\mathbf {n}}}$ and find integral representations. Using these representations and estimates for the integral kernel we prove boundedness of the representation operator in ${L^p}$ and Lipschitz classes.References
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Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 117 (1993), 395-403
- MSC: Primary 42B99; Secondary 31B10, 46E15
- DOI: https://doi.org/10.1090/S0002-9939-1993-1116256-2
- MathSciNet review: 1116256