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The weighted Kato square root problem of elliptic operators having a BMO anti-symmetric part
Let n ≥ 2 and let L be a second-order elliptic operator of divergence form with coefficients consisting of both an elliptic symmetric part and a BMO...
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Weighted estimates for fractional bilinear Hardy operators on variable exponent Morrey–Herz space
In this article, we analyze the boundedness for the fractional bilinear Hardy operators on variable exponent weighted Morrey–Herz spaces
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Weighted estimates of commutators of singular operators in generalized Morrey spaces beyond Muckenhoupt range and applications
For a certain class of radial weights, we prove weighted norm estimates for commutators with BMO coefficients of singular operators in local...
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The boundedness of operators on weighted multi-parameter local Hardy spaces
Though atomic decomposition is a very useful tool for studying the boundedness on Hardy spaces for some sublinear operators, untill now, the...
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Commutators of maximal functions on spaces of homogeneous type and their weighted, local versions
We obtain the characterizations of commutators of several versions of maximal functions on spaces of homogeneous type. In addition, with the aid of...
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Extrapolation for Weighted Product Morrey Spaces and Some Applications
This paper builds the extrapolation theory on weighted product Morrey spaces. To prove the main result, we introduce the weighted product block...
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Layer Potential Operators on Hardy, BMO, VMO, and Hölder Spaces
The reader is reminded that Hölder, BMO, VMO, and Hardy spaces in the general setting of spaces of homogeneous type and on Ahlfors regular sets have...
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Two-weighted estimates for p-adic Riesz potential and its commutators on Morrey–Herz spaces
In this paper, we study the boundedness of p -adic Riesz potential on two-weighted Morrey–Herz spaces with both power weight and Muckenhoupt weight....
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On optimal parameters involved with two-weighted estimates of commutators of singular and fractional operators with Lipschitz symbols
We prove two-weighted norm estimates for higher order commutator of singular integral and fractional type operators between weighted L p and certain...
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On the Predual of a Morrey–Lorentz Space and Its Applications to the Linear Calderón–Zygmund Operators
Our main purpose in this paper is to construct a predual of Morrey–Lorentz space via the block spaces, defined in [Ann. Scuola Norm. Sup. Pisa Cl....
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Weighted Variation Inequalities for Singular Integrals and Commutators in Rearrangement Invariant Banach and Quasi-Banach Spaces
In order to study the boundedness of some operators in general function spaces which include Lorentz spaces and Orlicz spaces as special examples,...