Titlebook: Real-Variable Theory of Musielak-Orlicz Hardy Spaces; Dachun Yang,Yiyu Liang,Luong Dang Ky Book 2017 Springer International Publishing AG

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Weak Musielak-Orlicz Hardy Spaces, maximal function characterizations. We also establish other real-variable characterizations of ., respectively, by means of the atom, the molecule, the Lusin area function, the Littlewood-Paley .-function or the ...-function. As an application, the boundedness of Calderón-Zygmund operators from . to . in the critical case is presented.

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Musielak-Orlicz Hardy Spaces,In this chapter, we first recall the notion of growth functions, establish some technical lemmas and introduce the Musielak-Orlicz Hardy space . which generalize the Orlicz-Hardy space of Janson and the weighted Hardy space of García-Cuerva, Strömberg and Torchinsky.

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Littlewood-Paley Function and Molecular Characterizations of Musielak-Orlicz Hardy Spaces,In this chapter, we establish the Littlewood-Paley function and the molecular characterizations of the Musielak-Orlicz Hardy space ..

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Musielak-Orlicz Campanato Spaces,In this chapter, we study the Musielak-Orlicz Campanato space . and, as an application, prove that some of them is the dual space of the Musielak-Orlicz Hardy space ..

grovel

Musielak-Orlicz Besov-Type and Triebel-Lizorkin-Type Spaces,Let ., . ∈ (0, .], . be two Musielak-Orlicz functions that, on the space variable, belong to the Muckenhoupt class . uniformly on the growth variable.

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Paraproducts and Products of Functions in , and , Through Wavelets,As an important application of Musielak-Orlicz Hardy spaces, in this chapter.

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,Bilinear Decompositions and Commutators of Calderón-Zygmund Operators,As another application of Musielak-Orlicz Hardy space ., we consider the boundedness of commutators in this chapter. It is well known that the linear commutator [., .], generated by a BMO function . and a Calderón-Zygmund operator ., may not be bounded from . into ..

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