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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),... -
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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Calderón—Zygmund Operators and Commutators in Spaces of Homogeneous Type: Weighted Inequalities
The recent proof of the sharp weighted bound for Calderón-Zygmund operators has led to much investigation in sharp mixed bounds for operators and...
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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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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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Weighted Norm Inequalities for Local Fractional Integrals on Gaussian Measure Spaces
In this paper, the authors establish the weighted norm inequalities associated with the local Muckenhoupt weights for the local fractional integrals...
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Weak Type Estimates of Singular Integral Operators on Morrey–Banach Spaces
We establish the weak type estimates of singular integral operators on Morrey spaces built on Banach function space. In particular, we have these...
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A New Elliptic Measure on Lower Dimensional Sets
The recent years have seen a beautiful breakthrough culminating in a comprehensive understanding of certain scale-invariant properties of n − 1...
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Weighted Fractional Leibniz-Type Rules for Bilinear Multiplier Operators
We prove weighted fractional Leibniz-type rules for Coifman–Meyer and biparameter Coifman–Meyer multiplier operators. Map** properties of such...
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Multilinear integral operators in weighted grand Lebesgue spaces
The boundedness of multi(sub)linear Hardy–Littlewood maximal, Calderón–Zygmund and fractional integral operators defined on metric...
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Characterization of Compactness of the Commutators of Bilinear Fractional Integral Operators
The compactness of the commutators of bilinear fractional integral operators and point-wise multiplication, acting on products of Lebesgue spaces, is...
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A Note on Boundedness of Operators in Grand Grand Morrey Spaces
In this note we introduce grand grand Morrey spaces, in the spirit of the grand Lebesgue spaces.We prove a kind of reduction lemma which is...
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Improving Bounds for Singular Operators via Sharp Reverse Höolder Inequality for \( A_\infty \)
In this expository article we collect and discuss some recent results on different consequences of a Sharp Reverse Hölder Inequality for...
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Endpoint boundedness of Riesz transforms on Hardy spaces associated with operators
Let L 1 be a nonnegative self-adjoint operator in L 2 (ℝ n ) satisfying the Davies-Gaffney estimates and L 2 a second order divergence form elliptic...