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Mirotin, A. R.

Addendum to: “Boundedness of Hausdorff operators on real Hardy spaces \(H^1\) over locally compact groups”. (English) Zbl 1459.43004

J. Math. Anal. Appl. 479, No. 1, 872-874 (2019).
Addendum to [Zbl 1431.43006].

Cited in 1 Document

MSC:

43A70 Analysis on specific locally compact and other abelian groups
42B30 \(H^p\)-spaces
22C05 Compact groups

Keywords:

Hausdorff operator; Cesàro operator; Hardy space; space of homogeneous type; homogeneous group; Heisenberg group

Citations:

Zbl 1431.43006
Cite Review PDF
Full Text: DOI

References:

[1] Alvarado, R.; Mitrea, M., Hardy Spaces on Ahlfors-Regular Quasi-Metric Spaces. A Sharp Theory (2015), Springer International Publishing: Springer International Publishing Switzerland · Zbl 1322.30001
[2] Heinonen, J.; Koskela, P.; Shanmugalingam, N.; Tyson, J. T., Sobolev Spaces on Metric Measure Spaces. An Approach Based on Upper Gradients (2015), Cambridge University Press: Cambridge University Press Cambridge · Zbl 1332.46001
[3] Hewitt, E.; Ross, K., Abstract Harmonic Analysis, vol. 1 (1963), Springer-Verlag: Springer-Verlag Berlin, Gettingen, Heidelberg · Zbl 0115.10603
[4] Mirotin, A. R., Boundedness of Hausdorff operators on real Hardy spaces \(H^1\) over locally compact groups, J. Math. Anal. Appl., 473, 519-533 (2019) · Zbl 1431.43006
[5] Mitrea, D.; Mitrea, I.; Mitrea, M.; Monniaux, S., Groupoid Metrization Theory with Applications to Analysis on Quasi-Metric Spaces and Functional Analysis, Applied and Numerical Harmonic Analysis (2013), Birkhäuser/Springer: Birkhäuser/Springer New York · Zbl 1269.46002
[6] Struble, R. A., Metrics in locally compact groups, Compos. Math., 28, 217-222 (1974) · Zbl 0288.22010
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