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In this paper, in the light of weighted sharing of sets, we investigate the possible uniqueness of meromorphic function of restricted hyper order with its linear c-shift operator. Our first two theorems improve a number of earlier results. Our last theorem together with a corollary improves and...
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.
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