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Notes on Carleson type measures on bounded symmetric domain

최기성
대한수학회 (The Korean Mathematical Society)|2007.01|대한수학회논문집 (Communications of the KMS)|제22권 제1호|pp. 65-74

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주제분류수학

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Abstract

Suppose that is a nite positive Borel measure on boundedsymmetric domain Cn and is the Euclidean volume measure suchthat () = 1. Suppose 1 < p < 1 and r > 0. In this paper, we will showthat the norms supfRjkz(w)j2d(w) : z 2 g, supfRjh(w)jpd(w)=Rjh(w)jpd(w) :h 2 Lpa(;d);h 6= 0 g andsupf(E(z;r))(E(z;r)):z 2 gare all equivalent. We will also show that the inclusion mapping ip :Lpa(;d) ! Lp(;d) is compact if and only if limw! @ (E (w;r))(E (w;r)) = 0.

참고문헌 (12)

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  10. "Function theory of several complex variables" (1992), Wadsworth &Brooks[DOI]
  11. "Bloch functions of several variables" (1980)
  12. "Operator theory in function spaces" (1990)

관련 논문AI추천

A study on Carleson measures with respect to general approach regionsChoon-Serk Suh대한수학회 · 대한수학회논문집2002 · 제17권 제1호Notes on the Bergman projection type operator in $\Bbb C^n$최기성대한수학회 · 대한수학회논문집2006 · 제21권 제1호A Note on Lipschitz Estimates for Weighted Bergman Projections on Convex Domains of Infinite Type in C^2Ly Kim Ha경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2025 · 제65권 제2호Harmonic Conjugates of Weighted Harmonic Bergman Functions on Half-SpacesHeungSu Yi, Kyesook Nam대한수학회 · 대한수학회논문집2003 · 제18권 제3호Some duality of weighted Bergman spaces of the half-plane강시호대한수학회 · 대한수학회보2005 · 제42권 제2호Extremal problems on the Cartan-Hartogs domainsAn Wang, Xin Zhao, Zhiyin Liu대한수학회 · 대한수학회지2007 · 제44권 제6호

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