
Vector valued Hardy spaces related to analytic functions having distributional boundary values
- Author
- Richard D Carmichael, Stevan Pilipović and Jasson Vindas Diaz (UGent)
- Organization
- Abstract
- The Hardy space H^p of vector valued analytic functions in tubedomains in C^n and with values in Banach space are defined. Ana-lytic functions in tube domains inCnwith values in Hilbert space which have L^p functions with values in Hilbert space as distributional boundary value are proved to be in H^p. A Poisson integral representation for such vector valued analytic functions is obtained.
- Keywords
- Hardy space, vector valued analytic function, vector valued distributional boundary value, REPRESENTATION
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Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-8606709
- MLA
- Carmichael, Richard D., et al. “Vector Valued Hardy Spaces Related to Analytic Functions Having Distributional Boundary Values.” COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, vol. 64, no. 10, 2019, pp. 1634–54, doi:10.1080/17476933.2018.1545763.
- APA
- Carmichael, R. D., Pilipović, S., & Vindas Diaz, J. (2019). Vector valued Hardy spaces related to analytic functions having distributional boundary values. COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 64(10), 1634–1654. https://doi.org/10.1080/17476933.2018.1545763
- Chicago author-date
- Carmichael, Richard D, Stevan Pilipović, and Jasson Vindas Diaz. 2019. “Vector Valued Hardy Spaces Related to Analytic Functions Having Distributional Boundary Values.” COMPLEX VARIABLES AND ELLIPTIC EQUATIONS 64 (10): 1634–54. https://doi.org/10.1080/17476933.2018.1545763.
- Chicago author-date (all authors)
- Carmichael, Richard D, Stevan Pilipović, and Jasson Vindas Diaz. 2019. “Vector Valued Hardy Spaces Related to Analytic Functions Having Distributional Boundary Values.” COMPLEX VARIABLES AND ELLIPTIC EQUATIONS 64 (10): 1634–1654. doi:10.1080/17476933.2018.1545763.
- Vancouver
- 1.Carmichael RD, Pilipović S, Vindas Diaz J. Vector valued Hardy spaces related to analytic functions having distributional boundary values. COMPLEX VARIABLES AND ELLIPTIC EQUATIONS. 2019;64(10):1634–54.
- IEEE
- [1]R. D. Carmichael, S. Pilipović, and J. Vindas Diaz, “Vector valued Hardy spaces related to analytic functions having distributional boundary values,” COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, vol. 64, no. 10, pp. 1634–1654, 2019.
@article{8606709, abstract = {{The Hardy space H^p of vector valued analytic functions in tubedomains in C^n and with values in Banach space are defined. Ana-lytic functions in tube domains inCnwith values in Hilbert space which have L^p functions with values in Hilbert space as distributional boundary value are proved to be in H^p. A Poisson integral representation for such vector valued analytic functions is obtained.}}, author = {{Carmichael, Richard D and Pilipović, Stevan and Vindas Diaz, Jasson}}, issn = {{1747-6933}}, journal = {{COMPLEX VARIABLES AND ELLIPTIC EQUATIONS}}, keywords = {{Hardy space,vector valued analytic function,vector valued distributional boundary value,REPRESENTATION}}, language = {{eng}}, number = {{10}}, pages = {{1634--1654}}, title = {{Vector valued Hardy spaces related to analytic functions having distributional boundary values}}, url = {{http://doi.org/10.1080/17476933.2018.1545763}}, volume = {{64}}, year = {{2019}}, }
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