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Vector valued Hardy spaces related to analytic functions having distributional boundary values

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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 valuedanalytic function, vectorvalued distributionalboundary value

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Please use this url to cite or link to this publication:

Chicago
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.
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.
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;
MLA
Carmichael, Richard D, Stevan Pilipović, and Jasson Vindas Diaz. “Vector Valued Hardy Spaces Related to Analytic Functions Having Distributional Boundary Values.” COMPLEX VARIABLES AND ELLIPTIC EQUATIONS (2019): n. pag. Print.
@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 Pilipovi\'{c}, Stevan and Vindas Diaz, Jasson},
  issn         = {1747-6933},
  journal      = {COMPLEX VARIABLES AND ELLIPTIC EQUATIONS},
  language     = {eng},
  title        = {Vector valued Hardy spaces related to analytic functions having distributional boundary values},
  url          = {http://dx.doi.org/10.1080/17476933.2018.1545763},
  year         = {2019},
}

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