A Note on Campanato Spaces and Their Applications |
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Authors: | D. H. Wang J. Zhou Z. D. Teng |
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Affiliation: | 1.College of Mathematics and System Sciences,Xinjiang University,Urumqi,Republic of China |
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Abstract: | In this paper, we obtain a version of the John–Nirenberg inequality suitable for Campanato spaces Cp,β with 0 < p < 1 and show that the spaces Cp,β are independent of the scale p ∈ (0,∞) in sense of norm when 0 < β < 1. As an application, we characterize these spaces by the boundedness of the commutators [b,B α ] j (j = 1, 2) generated by bilinear fractional integral operators B α and the symbol b acting from Lp1 × Lp2 to L q for p1, p2 ∈ (1,∞), q ∈ (0,∞) and 1/q = 1/p1 + 1/p2 ? (α + β)/n. |
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