Let be a nonhomogeneous metric measure space satisfying the upper doubling and geometrically doubling conditions in the sense of Hytönen. In this setting, the author proves that parameter -type Marcinkiewicz integral is bounded on the weighted generalized Morrey space for . Furthermore, the boudedness of on weak weighted generalized Morrey space is also obtained.

中文翻译：

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非齐次加权广义Morrey空间上的参数类型Marcinkiewicz积分

让 是在Hytönen的意义上满足上加倍和几何加倍条件的非齐次度量空间。在这种背景下，笔者证明了参数-型Marcinkiewicz积分是在加权广义Morrey空间有界的。此外，还获得了弱加权广义Morrey空间的凝聚性。