The wavelet characterization in Campanato spaces with variable exponents

Chenchen Niu; Hongbin Wang; Zongguang Liu; Chenchen Niu; Hongbin Wang; Zongguang Liu

doi:10.3934/math.20261371

AIMS Mathematics

2026, Volume 11, Issue 10: 35313-35334. doi: 10.3934/math.20261371

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Research article

The wavelet characterization in Campanato spaces with variable exponents

1.
School of Science, China University of Mining and Technology (Beijing), Beijing 100083, China
2.
School of Mathematics and Statistics, Shandong University of Technology, Zibo, Shandong 255049, China

Received: 29 June 2026 Revised: 30 September 2026 Accepted: 15 October 2026 Published: 28 October 2026
MSC : 42B35, 46E30

This paper establishes the wavelet characterization of Campanato spaces with variable exponents by using compactly supported smooth wavelets with high vanishing moments. We apply the characterization to the boundedness of Riesz potentials.
- Campanato space,
- variable exponent,
- wavelet characterization,
- Riesz potential
Citation: Chenchen Niu, Hongbin Wang, Zongguang Liu. The wavelet characterization in Campanato spaces with variable exponents[J]. AIMS Mathematics, 2026, 11(10): 35313-35334. doi: 10.3934/math.20261371

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Abstract

This paper establishes the wavelet characterization of Campanato spaces with variable exponents by using compactly supported smooth wavelets with high vanishing moments. We apply the characterization to the boundedness of Riesz potentials.

References

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