# On ergodic singular integral operators

Colloquium Mathematicae (1993)

- Volume: 66, Issue: 2, page 299-307
- ISSN: 0010-1354

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topAlphonse, A., and Madan, Shobha. "On ergodic singular integral operators." Colloquium Mathematicae 66.2 (1993): 299-307. <http://eudml.org/doc/210250>.

@article{Alphonse1993,

author = {Alphonse, A., Madan, Shobha},

journal = {Colloquium Mathematicae},

keywords = {singular series operators; discrete analogues; singular integral operators; ergodic operators; spaces of Banach space valued functions},

language = {eng},

number = {2},

pages = {299-307},

title = {On ergodic singular integral operators},

url = {http://eudml.org/doc/210250},

volume = {66},

year = {1993},

}

TY - JOUR

AU - Alphonse, A.

AU - Madan, Shobha

TI - On ergodic singular integral operators

JO - Colloquium Mathematicae

PY - 1993

VL - 66

IS - 2

SP - 299

EP - 307

LA - eng

KW - singular series operators; discrete analogues; singular integral operators; ergodic operators; spaces of Banach space valued functions

UR - http://eudml.org/doc/210250

ER -

## References

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- [8] M. Cotlar, A unified theory of Hilbert transform and ergodic theorems, Rev. Mat. Cuyana 1 (1955), 105-167.
- [9] J. Diestel and J. J. Uhl, Vector Measures, Math. Surveys 15, Amer. Math. Soc., 1977.
- [10] R. E. Edwards and G. I. Gaudry, Littlewood-Paley and Multiplier Theory, Springer, 1977.
- [11] K. Petersen, Another proof of the existence of the ergodic Hilbert transform, Proc. Amer. Math. Soc. 88 (1983), 39-43. Zbl0521.28014
- [12] J. L. Rubio de Francia, F. J. Ruiz and J. L. Torrea, Calderón-Zygmund theory of operator-valued kernels, Adv. in Math. 62 (1986), 7-48. Zbl0627.42008
- [13] E. M. Stein, Singular Integrals and Differentiability Properties of Functions, Princeton Univ. Press, 1970. Zbl0207.13501
- [14] A. Torchinsky, Real-Variable Methods in Harmonic Analysis, Academic Press, 1986. Zbl0621.42001

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