Manuscript Topics

The real-variable theory of function spaces is one of the central topics of modern harmonic analysis and has been widely applied in many branches of mathematics, such as harmonic analysis, partial differential equations, geometric analysis, and potential analysis. In recent decades, both the real-variable theory of function spaces and its applications have achieved a remarkable progress, promoted by the study of many related areas.

The aim of this Special Issue “Real-Variable Theory of Function Spaces and Its Applications” is to present some recent developments in this subject, including the real-variable theory of function spaces and its applications to some related areas, such as harmonic analysis and partial differential equations. We would like to invite original and high-quality contributions in this subject. The topics of interest include, but are not limited to the keywords listed as follows.

Keywords:  
Lebesgue space  
Morrey space  
Orlicz space  
Lorentz space  
Sobolev space  
Hardy space  
BMO  
John-Nirenberg space  
Besov space  
Triebel-Lizorkin space  
Campanato space  
Hilbert transform  
Riesz transform  
Calderón-Zygmund operator  
Multiplier  
Trace  
Interpolation  
Embedding  
Dual  
Wavelet  
Frame  
Muckenhoupt weight  
Space of homogeneous type  
Metric measure space

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