Using Khinchin's inequality, Geršgorin's theorem, and the atomic decomposition of Bergman spaces, we estimate the norm and essential norm of Stević–Sharma‐type operators between weighted Bergman spaces and and the sum of weighted differentiation composition operators with different symbols from the weighted Bergman spaces to . The estimates of those between Bergman spaces remove all the restrictions of a result of Stevic, Sharma, and Bhat. As a by‐product, we also get an interpolation theorem for Bergman spaces induced by doubling weights.

中文翻译：

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由权重加倍引起的伯格曼空间之间的Stević-Sharma型算子

利用Khinchin不等式、Geršgorin定理和Bergman空间的原子分解，我们估计了加权Bergman空间之间的Stević-Sharma型算子的范数和本质范数以及来自加权Bergman空间的具有不同符号的加权微分复合算子之和到 。 Bergman 空间之间的估计消除了 Stevic、Sharma 和 Bhat 结果的所有限制。作为副产品，我们还得到了由加倍权重导出的伯格曼空间的插值定理。