Properties of harmonic conjugates
Annales UMCS, Mathematica (2008)
- Volume: 62, Issue: 1, page 143-147
- ISSN: 2083-7402
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topPaweł Sobolewski. "Properties of harmonic conjugates." Annales UMCS, Mathematica 62.1 (2008): 143-147. <http://eudml.org/doc/268208>.
@article{PawełSobolewski2008,
abstract = {We give a new proof of Hardy and Littlewood theorem concerning harmonic conjugates of functions u such that ∫D |u(z)|pdA(z) < ∞, 0 < p ≤ 1. We also obtain an inequality for integral means of such harmonic functions u.},
author = {Paweł Sobolewski},
journal = {Annales UMCS, Mathematica},
keywords = {Hardy and Littlewood theorem; harmonic conjugate; ap space; space},
language = {eng},
number = {1},
pages = {143-147},
title = {Properties of harmonic conjugates},
url = {http://eudml.org/doc/268208},
volume = {62},
year = {2008},
}
TY - JOUR
AU - Paweł Sobolewski
TI - Properties of harmonic conjugates
JO - Annales UMCS, Mathematica
PY - 2008
VL - 62
IS - 1
SP - 143
EP - 147
AB - We give a new proof of Hardy and Littlewood theorem concerning harmonic conjugates of functions u such that ∫D |u(z)|pdA(z) < ∞, 0 < p ≤ 1. We also obtain an inequality for integral means of such harmonic functions u.
LA - eng
KW - Hardy and Littlewood theorem; harmonic conjugate; ap space; space
UR - http://eudml.org/doc/268208
ER -
References
top- Hardy, G. H., Littlewood, J. E., Some properties of conjugate functions, J. Reine Angew. Math. 167 (1931), 405-423. Zbl0003.20203
- Hardy, G. H., Littlewood, J. E., Some properties of fractional integrals II, Math. Z. 34 (1932), no. 1, 403-439. Zbl0003.15601
- Kaczor, W. J., Nowak, M. T., Problems in Mathematical Analysis III, Amer. Math. Soc., Providence, RI, 2003. Zbl1054.00004
- Watanabe, H., Some properties of functions in Bergman space Ap, Proc. Fac. Sci. Tokai Univ. 13 (1978), 39-54. Zbl0428.30024
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