Abstract A new scale of weighted grand mixed norm Lebesgue spaces L w 1 p 1 , φ 1 ⁢ ( L w 2 p 2 , φ 2 ) {L_{w_{1}}^{p_{1},\varphi_{1}}(L_{w_{2}}^{p_{2},\varphi_{2}})} is introduced and the boundedness criteria for multiple singular operators are established.

中文翻译：

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加权大混合范数 Lebesgue 空间和积分算子的有界准则

Abstract 一种新的加权大混合范数勒贝格空间 L w 1 p 1 , φ 1 ⁢ ( L w 2 p 2 , φ 2 ) {L_{w_{1}}^{p_{1},\varphi_{1}引入了}(L_{w_{2}}^{p_{2},\varphi_{2}})}，建立了多个奇异算子的有界准则。