# 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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