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Extrapolation in weighted classical and grand Lorentz spaces. Application to the boundedness of integral operators
Banach Journal of Mathematical Analysis ( IF 1.1 ) Pub Date : 2020-01-31 , DOI: 10.1007/s43037-020-00054-1 Vakhtang Kokilashvili , Alexander Meskhi
Banach Journal of Mathematical Analysis ( IF 1.1 ) Pub Date : 2020-01-31 , DOI: 10.1007/s43037-020-00054-1 Vakhtang Kokilashvili , Alexander Meskhi
We establish weighted extrapolation theorems in classical and grand Lorentz spaces. As a consequence we have the weighted boundedness of operators of Harmonic Analysis in grand Lorentz spaces. We treat both cases: diagonal and off-diagonal ones.
中文翻译:
加权经典和大洛伦兹空间的外推。在积分算子的有界性中的应用
我们在经典和大洛伦兹空间中建立加权外推定理。因此,我们有大洛伦兹空间中谐波分析算子的加权有界性。我们处理两种情况:对角线和非对角线。
更新日期:2020-01-31
中文翻译:
加权经典和大洛伦兹空间的外推。在积分算子的有界性中的应用
我们在经典和大洛伦兹空间中建立加权外推定理。因此,我们有大洛伦兹空间中谐波分析算子的加权有界性。我们处理两种情况:对角线和非对角线。