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Sharp Exponents for Anisotropic Hardy–Littlewood Type of Inequalities
We establish refined exponent ranges for anisotropic Hardy–Littlewood type of inequalities concerning m -linear operators. We further explore the...
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Hardy–Sobolev–Rellich, Hardy–Littlewood–Sobolev and Caffarelli–Kohn–Nirenberg Inequalities on General Lie Groups
In this paper, we establish a number of geometrical inequalities such as Hardy, Sobolev, Rellich, Hardy–Littlewood–Sobolev,...
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On (Fejér-)Riesz type inequalities, Hardy–Littlewood type theorems and smooth moduli
The purpose of this paper is to develop some methods to study (Fejér-)Riesz type inequalities, Hardy–Littlewood type theorems and smooth moduli of...
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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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Weighted norm inequalities for one sided vector valued Hardy-Littlewood maximal function on one sided Morrey like spaces
In this article, we study the boundedness of one-sided Hardy-Littlewood maximal operator in vector-valued setting on one-sided weighted like Morrey...
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The Hardy–Littlewood maximal operator on discrete weighted Morrey spaces
We introduce a discrete version of weighted Morrey spaces, and discuss the inclusion relations of these spaces. In addition, we obtain...
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The Hardy-Littlewood Inequalities in Sequence Spaces
The investigation of the relation between the sums of coefficients of bilinear forms on c 0 × c 0 and their supremum norms was initiated in 1930 by...
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Hardy–Littlewood maximal function on Locally compact Abelian groups
In this paper we investigate a boundedness of the Hardy-Littlewood maximal operator M in the variable Lebesgue spaces in the context locally compact...
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On Hardy-Littlewood-Pólya and Taikov type inequalities for multiple operators in Hilbert spaces
We present a unified approach to obtain sharp mean-squared and multiplicative inequalities of Hardy-Littlewood-Pólya and Taikov types for multiple...
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Two-Dimensional Hardy–Littlewood Theorem for Functions with General Monotone Fourier Coefficients
We prove the Hardy–Littlewood theorem in two dimensions for functions whose Fourier coefficients obey general monotonicity conditions and,...
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Modified Hardy and Hardy–Littlewood Fractional Operators in Morrey–Herz Spaces and Their Commutators in Weighted Spaces
In this paper, we obtain sufficient conditions of the boundedness of modified fractional Hardy–Littlewood and Hardy operators acting from one...
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Some remarks on dimension-free estimates for the discrete Hardy—Littlewood maximal functions
Dependencies of the optimal constants in strong and weak type bounds will be studied between maximal functions corresponding to the Hardy—Littlewood...
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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 Hardy–Littlewood Type Theorem for Harmonic Bergman–Orlicz Spaces and Applications
AbstractIt is well known that a harmonic function is in a Bergman space if and only if it satisfies some Hardy–Littlewood type integral estimates. In...
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Hardy and Littlewood theorems and the Bergman distance
We obtain non-Euclidean versions of classical theorems due to Hardy and Littlewood concerning smoothness of the boundary function of an analytic...
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Functional Inequalities on Symmetric Spaces of Noncompact Type and Applications
The aim of this paper is to begin a systematic study of functional inequalities on symmetric spaces of noncompact type of higher rank. Our first main...