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JANUARY, 2006 Carleson type measures on parabolic Bergman spaces
Masaharu NISHIO, Masahiro YAMADA
J. Math. Soc. Japan 58(1): 83-96 (JANUARY, 2006). DOI: 10.2969/jmsj/1145287094


Let bαp,0<α1, be the parabolic Bergman space, the Banach space of solutions of parabolic equations ( / t + ( - Δ ) α ) u = 0 on the upper half space R+n+1 which have finite Lp norms. We study Carleson type measures on bαp, and give a necessary and sufficient condition for a measure μ on R+n+1 to be of Carleson type on bαp. As an application, we characterize bounded Toeplitz operators in the space bα2.


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Masaharu NISHIO. Masahiro YAMADA. "Carleson type measures on parabolic Bergman spaces." J. Math. Soc. Japan 58 (1) 83 - 96, JANUARY, 2006.


Published: JANUARY, 2006
First available in Project Euclid: 17 April 2006

zbMATH: 1100.35003
MathSciNet: MR2204566
Digital Object Identifier: 10.2969/jmsj/1145287094

Primary: ‎32A36‎
Secondary: 26D10 , 35K05

Keywords: Bergman space , Carleson measure , heat equation , parabolic equation of fractional order

Rights: Copyright © 2006 Mathematical Society of Japan

Vol.58 • No. 1 • JANUARY, 2006
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