Vertical variation of harmonic functions in upper half-spaces

Michael D. O'Neill

Colloquium Mathematicae (2001)

  • Volume: 87, Issue: 1, page 1-12
  • ISSN: 0010-1354

Abstract

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Some results of Bourgain on the radial variation of harmonic functions in the disk are extended to the setting of harmonic functions in upper half-spaces.

How to cite

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Michael D. O'Neill. "Vertical variation of harmonic functions in upper half-spaces." Colloquium Mathematicae 87.1 (2001): 1-12. <http://eudml.org/doc/284223>.

@article{MichaelD2001,
abstract = {Some results of Bourgain on the radial variation of harmonic functions in the disk are extended to the setting of harmonic functions in upper half-spaces.},
author = {Michael D. O'Neill},
journal = {Colloquium Mathematicae},
keywords = {harmonic functions; vertical variation; multipliers; Hausdorff dimension},
language = {eng},
number = {1},
pages = {1-12},
title = {Vertical variation of harmonic functions in upper half-spaces},
url = {http://eudml.org/doc/284223},
volume = {87},
year = {2001},
}

TY - JOUR
AU - Michael D. O'Neill
TI - Vertical variation of harmonic functions in upper half-spaces
JO - Colloquium Mathematicae
PY - 2001
VL - 87
IS - 1
SP - 1
EP - 12
AB - Some results of Bourgain on the radial variation of harmonic functions in the disk are extended to the setting of harmonic functions in upper half-spaces.
LA - eng
KW - harmonic functions; vertical variation; multipliers; Hausdorff dimension
UR - http://eudml.org/doc/284223
ER -

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