# A natural localization of Hardy spaces in several complex variables

Annales Polonici Mathematici (1997)

- Volume: 66, Issue: 1, page 183-201
- ISSN: 0066-2216

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topMihai Putinar, and Roland Wolff. "A natural localization of Hardy spaces in several complex variables." Annales Polonici Mathematici 66.1 (1997): 183-201. <http://eudml.org/doc/269954>.

@article{MihaiPutinar1997,

abstract = {Let H²(bΩ) be the Hardy space of a bounded weakly pseudoconvex domain in $ℂ^n$. The natural resolution of this space, provided by the tangential Cauchy-Riemann complex, is used to show that H²(bΩ) has the important localization property known as Bishop’s property (β). The paper is accompanied by some applications, previously known only for Bergman spaces.},

author = {Mihai Putinar, Roland Wolff},

journal = {Annales Polonici Mathematici},

keywords = {weakly pseudoconvex domain; Hardy space; quasi-coherent module; Bishop's property (β); Toeplitz operators; bounded weakly pseudoconvex domain; tangential Cauchy-Riemann complex; localization property; Bishop’s property ; Bergman spaces},

language = {eng},

number = {1},

pages = {183-201},

title = {A natural localization of Hardy spaces in several complex variables},

url = {http://eudml.org/doc/269954},

volume = {66},

year = {1997},

}

TY - JOUR

AU - Mihai Putinar

AU - Roland Wolff

TI - A natural localization of Hardy spaces in several complex variables

JO - Annales Polonici Mathematici

PY - 1997

VL - 66

IS - 1

SP - 183

EP - 201

AB - Let H²(bΩ) be the Hardy space of a bounded weakly pseudoconvex domain in $ℂ^n$. The natural resolution of this space, provided by the tangential Cauchy-Riemann complex, is used to show that H²(bΩ) has the important localization property known as Bishop’s property (β). The paper is accompanied by some applications, previously known only for Bergman spaces.

LA - eng

KW - weakly pseudoconvex domain; Hardy space; quasi-coherent module; Bishop's property (β); Toeplitz operators; bounded weakly pseudoconvex domain; tangential Cauchy-Riemann complex; localization property; Bishop’s property ; Bergman spaces

UR - http://eudml.org/doc/269954

ER -

## References

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