Let h: ℝ → ℝ be an increasing homeomorphism. A necessary and sufficient condition is given for the inner composition operator f → f ○ h−1 to be bounded on the space BLO(ℝ). Namely, the derivative h′ is a weight belonging to all Muckenhoupt classes Ap for p > 1.
Homeomorphisms on the real line preserving BMO and BLO / Popoli, A.. - In: ANALYSIS MATHEMATICA. - ISSN 0133-3852. - 47:4(2021), pp. 893-906. [10.1007/s10476-021-0108-4]
Homeomorphisms on the real line preserving BMO and BLO
Popoli, A.
2021
Abstract
Let h: ℝ → ℝ be an increasing homeomorphism. A necessary and sufficient condition is given for the inner composition operator f → f ○ h−1 to be bounded on the space BLO(ℝ). Namely, the derivative h′ is a weight belonging to all Muckenhoupt classes Ap for p > 1.File in questo prodotto:
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10. 2021 - Anal. Math. Homs preserving BMO and BLO.pdf
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