Jing Zhang

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math.AP2016

Oscillation and variation for semigroups associated with Bessel operators

Huoxiong Wu, Dongyong Yang, Jing Zhang

Let $λ > 0$ and $△_{λ} := - \frac{d ^{2}}{d x ^{2}} - \frac{2 λ}{x} \frac{d}{d x}$ be the Bessel operator on $R_{+} := (0, \infty)$ . We show that the oscillation operator ${\mathcal O(P^{[…

math.AP2016

Oscillation and variation for Riesz transform associated with Bessel operators

Huoxiong Wu, Dongyong Yang, Jing Zhang

Let $λ > 0$ and $△_{λ} := - \frac{d ^{2}}{d x ^{2}} - \frac{2 λ}{x} \frac{d}{d x}$ be the Bessel operator on $R_{+} := (0, \infty)$ . We show that the oscillation operator $\mathcal{O}(R_{Δ…