NOTES ON CARLESON TYPE MEASURES ON BOUNDED SYMMETRIC DOMAIN

Title & Authors
NOTES ON CARLESON TYPE MEASURES ON BOUNDED SYMMETRIC DOMAIN
Choi, Ki-Seong;

Abstract
Suppose that $\small{\mu}$ is a finite positive Borel measure on bounded symmetric domain $\small{\Omega{\subset}\mathbb{C}^n\;and\;\nu}$ is the Euclidean volume measure such that $\nu(\Omega) Keywords Bergman space;Bergman projection; Language English Cited by 1. ON SOME MEASURE RELATED WITH POISSON INTEGRAL ON THE UNIT BALL,;; 충청수학회지, 2009. vol.22. 1, pp.89-99 2. ON DUALITY OF WEIGHTED BLOCH SPACES IN${\mathbb{C}}^n$,;; 충청수학회지, 2010. vol.23. 3, pp.523-534 3. BLOCH-TYPE SPACE RELATED WITH NORMAL FUNCTION,; 충청수학회지, 2011. vol.24. 3, pp.533-541 4. NOTES ON THE SPACE OF DIRICHLET TYPE AND WEIGHTED BESOV SPACE,; 충청수학회지, 2013. vol.26. 2, pp.393-402 5. TOEPLITZ TYPE OPERATOR IN ℂn,; 충청수학회지, 2014. vol.27. 4, pp.697-705 1. NOTES ON THE SPACE OF DIRICHLET TYPE AND WEIGHTED BESOV SPACE, Journal of the Chungcheong Mathematical Society, 2013, 26, 2, 393 2. NOTES ON${\alpha}$-BLOCH SPACE AND$D_p({\mu})$, Journal of the Chungcheong Mathematical Society , 2012, 25, 3, 543 3. TOEPLITZ TYPE OPERATOR IN ℂn, Journal of the Chungcheong Mathematical Society, 2014, 27, 4, 697 References 1. C. A. Berger, L. A. Coburn, and K. H. Zhu, Function theory on Cartan domains and the Berezin-Toeplitz symbols calculus, Amer. J. Math. 110 (1988), 921-953 2. D. Bekolle, C. A. Berger, L. A. Coburn, and K. H. Zhu, BMO in the Bergman metric on bounded symmetric domain, J. Funct. Anal. 93 (1990), 310-350 3. K. S. Choi, Lipschitz type inequality in Weighted Bloch spaces$B_q$, J. Korean Math. Soc. 39 (2002), no. 2, 277-287 4. K. S. Choi, Little Hankel operators on Weighted Bloch spaces in$C^n$, C. Korean Math. Soc. 18 (2003), no. 3, 469-479 5. J. B. Conway, A course in Functional Analysis, Springer Verlag, New York, 1985 6. J. Faraut and A. Korany, Function spaces and reproducing kernels on bounded symmetric domains, J. Funct. Anal. 88 (1990), 64-89 7. K. T. Hahn, Holomorphic mappings of the hyperbolic space into the complex Euclidean space and Bloch theorem, Canadian J. Math. 27 (1975), 446-458 8. K. T. Hahn and K. S. Choi, Weighted Bloch spaces in$C^n\$, J. Korean Math. Soc. 35 (1998), no. 2, 171-189

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