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The Commutators of Marcinkiewicz Integral Operators on Weighted Hardy Spaces
This paper is devoted to studying the behaviors of commutator μ Ω b generated by the Marcinkiewicz integral μ Ω with b ∈ BMO(ℝ n ) on the weighted Hardy...
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Grand Lebesgue Spaces with Mixed Local and Global Aggrandization and the Maximal and Singular Operators
The approach to “locally” aggrandize Lebesgue spaces, previously suggested by the authors and based on the notion of “aggrandizer”, is combined with...
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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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Two-parameter martingale Orlicz–Hardy spaces
We introduce Orlicz–Hardy spaces for two-parameter martingales, and establish some new martingale inequalities by use of the atomic...
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Bilinear estimates on Morrey spaces by using average
This paper is a follow up of a recent work of the author and Y. Sawano [6], in 2019. We investigate the boundedness of the bilinear fractional...
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Weighted Fractional Hardy Operators and their Commutators on Generalized Morrey Spaces over Quasi-Metric Measure Spaces
We study commutators of weighted fractional Hardy-type operators within the frameworks of local generalized Morrey spaces over quasi-metric measure...
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The Berezin Transform of Toeplitz Operators on the Weighted Bergman Space
In this paper, we obtain some interesting reproducing kernel estimates and some Carleson properties that play an important role. We characterize the...
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New Gaussian Riesz transforms on variable Lebesgue spaces
We give sufficient conditions on the exponent p : ℝ d → [1, ∞) for the boundedness of the non-centered Gaussian maximal function on variable Lebesgue...
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Complex Interpolation and the Adams Theorem
Recently, many researchers investigated the description of the complex interpolation of Morrey spaces. Among others, the second complex interpolation...
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Boundedness and Compactness of Commutators for Bilinear Fractional Integral Operators on Morrey Spaces
We show a characterization for the boundedness of the commutators for bilinear fractional integral operators B α (0 < α < n ) on Morrey spaces....
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John—Nirenberg-Q Spaces via Congruent Cubes
To shed some light on the John—Nirenberg space, the authors of this article introduce the John—Nirenberg- Q space via congruent cubes,
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