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Variation type characterization of product Hardy spaces
In the multidimensional Euclidean space, except the classical real Hardy space, there are numerous product ones. We associate with each of them a...
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Complex Symmetric Composition Operators on the Hardy Space of the Unit Ball
In this paper, we introduce a new conjugation induced by a sequence of symmetric unitary n × n matrices on ℂ n . And we completely characterize the...
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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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Fourier Transform of Anisotropic Hardy Spaces Associated with Ball Quasi-Banach Function Spaces and Its Applications to Hardy-Littlewood Inequalities
Let A be a general expansive matrix and X be a ball quasi-Banach function space on ℝ n , whose certain power (namely its convexification) supports a...
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The Cauchy–Szegö kernel for the Hardy space of 0-regular functions on the quaternionic Siegel upper half space
The notation of 0-regular functions is one of quaternionic counterparts of the notation of holomorphic functions of several complex variables. In...
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On the Invariant Subspace Problem via Universal Toeplitz Operators on the Hardy Space Over the Bidisk
The invariant subspace problem (ISP) for Hilbert spaces asks if every bounded linear operator has a non-trivial closed invariant subspace. Due to the...
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Real-Variable Theory of Local Variable Hardy Spaces
In this paper, we give a complete real-variable theory of local variable Hardy spaces. First, we present various real-variable characterization in...
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Weighted Composition Operators That Preserve Frames On Weighted Hardy Spaces
In this paper, we characterize weighted composition operators that preserve frames on the weighted Hardy spaces in the unit disk. In particular, we...
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Maximal Operators of Multilinear Singular Integrals on Weighted Hardy Type Spaces
In this paper, the authors show that the maximal operators of the multilinear Calderón-Zygmund singular integrals are bounded from a product of...
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Products of composition operator and differentiation operator of order n on the Hardy space
We consider the products of composition operator and differentiation operator of order n on the Hardy space. We provide a complete characterization...
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A Montel-Type Theorem for Hardy Spaces of Holomorphic Functions
We give a version of the Montel theorem for Hardy spaces of holomorphic functions on an infinite dimensional space. Precisely, we show that any...