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Erratum: Weighted Fractional Leibniz-type Rules for Bilinear Multiplier Operators
Erratum to article [
1 ]: J. Brummer and V. Naibo, Weighted fractional Leibniz-type rules for bilinear multiplier operators, Potential Anal. 51 (1),... -
Trace Inequalities for Fractional Integrals in Mixed Norm Grand Lebesgue Spaces
D. Adams type trace inequalities for multiple fractional integral operators in grand Lebesgue spaces with mixed norms are established. Operators...
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Off-Diagonal Two Weight Bumps for Fractional Sparse Operators
In this paper, we continue some recent work on two weight boundedness of sparse operators to the “off-diagonal” setting. We use the new “entropy...
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Characterizations of commutators of the Hardy-Littlewood maximal function on Triebel-Lizorkin spaces
We study the map** property of the commutator of Hardy-Littlewood maximal function on Triebel-Lizorkin spaces. Also, some new characterizations of...
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On the integrability of multi-dimensional rare maximal functions
We characterize the translation invariant monotone collections of multi-dimensional intervals for which the analogue of Stein's criterion for the...
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Weighted Characterization of Parabolic Fractional Maximal Operator
In this paper, we introduce the parabolic off-diagonal Muckenhoupt A
p,q + weights. We reveal the properties of these weights, and our main results... -
The Pointwise Convergence Along Curve Associated with Boussinesq Operator
In this paper, we study the almost everywhere pointwise convergence of the Boussinesq operator along curve γ ( x, t ) in ℝ. It is shown that
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The John-Nirenberg inequality for functions of bounded mean oscillation with bounded negative part
A version of the John-Nirenberg inequality suitable for the functions b ∈ BMO with b − ∈ L ∞ is established. Then, equivalent definitions of this space...
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Restricted testing conditions for the multilinear maximal operator
Restricted testing conditions were considered recently. For the maximal operator, Hytönen, Li and Sawyer [8] first obtained parental testing...
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Fourier Restriction Implies Maximal and Variational Fourier Restriction in Lorentz Space
In this paper, we show that Fourier restriction theorem implies the maximal and variational Fourier restriction in Lorentz space frame. The key...
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Restricted weak type inequalities for the one-sided Hardy-Littlewood maximal operator in higher dimensions
We give a quantitative characterization of the pairs of weights ( w, v ) for which the dyadic version of the one-sided Hardy-Littlewood maximal...
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A New Characterization of the Besov Spaces Associated with Hermite Operator
Let H = −Δ + ∣ x ∣ 2 be a Hermite operator, where Δ is the Laplacian on ℝ n . In this paper, we give a new characterization of the Besov space associated...