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Generalized Orlicz-Type Slice Spaces, Extrapolation and Applications
We introduce a class of generalized Orlicz-type Auscher—Mourgoglou slice space, which is a special case of the Wiener amalgam. We prove versions of...
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Extrapolation of Compactness on Banach Function Spaces
We prove an extrapolation of compactness theorem for operators on Banach function spaces satisfying certain convexity and concavity conditions. In...
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Map** properties for operators on Herz-Morrey and Herz-Morrey-Hardy spaces
In this paper, we bulid the extrapolation theory for Herz-Morrey spaces, from which the map** properties of the parametric Marcinkiewicz integrals,...
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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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Boundedness criterion for some integral operators on generalized mixed Morrey spaces and generalized mixed Hardy–Morrey spaces
In this paper, we obtain the boundedness of Calderón–Zygmund operators and their commutators, the Rubio de Francia inequalities on generalized mixed...
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Strongly singular Calderón–Zygmund operators on Hardy spaces associated with ball quasi-Banach function spaces
We obtain the map** properties of the strongly singular Calderón–Zygmund operators on Hardy spaces associated with ball quasi-Banach function...
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A note on extrapolation of compactness
This note is devoted to the study of Hytönen’s extrapolation theorem of compactness on weighted Lebesgue spaces. Two criteria of compactness of...
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Sparse domination implies vector-valued sparse domination
We prove that scalar-valued sparse domination of a multilinear operator implies vector-valued sparse domination for tuples of quasi-Banach function...
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Extrapolation to Herz spaces with variable exponents and applications
This paper gives an extension of the extrapolation theory to Herz spaces with variable exponents. By using this extrapolation theory, we establish...
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Banach Function Spaces, Extrapolation, and Orlicz Spaces
In this chapter we begin by providing a definition which is more inclusive than that of a “standard” Banach function space (as traditionally used in...
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Weighted Strong-Type Estimates on Classical Lorentz Spaces
We present new estimates in the setting of weighted classical Lorentz spaces for important operators in Harmonic Analysis such as Calderón-Zygmund...
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Grand Morrey Spaces and Grand Hardy–Morrey Spaces on Euclidean Space
We define and study the grand Morrey spaces and the grand Hardy–Morrey spaces on Euclidean space. We also introduce the small block space and study...
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Weighted \(W^{1,2}_{p(\cdot )}\)-Estimate for Fully Nonlinear Parabolic Equations with a Relaxed Convexity
We devote this paper to global estimate in weighted variable exponent Sobolev spaces for fully nonlinear parabolic equations under a relaxed...
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Quantitative estimates and extrapolation for multilinear weight classes
In this paper we prove a quantitative multilinear limited range extrapolation theorem which allows us to extrapolate from weighted estimates that...