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Extension of Hardy–Littlewood–Sobolev Inequalities for Riesz Potentials on Hypergroups
We establish in this paper the Hardy–Littlewood–Sobolev inequalities for the Riesz potentials on Morrey spaces over commutative hypergroups. As a...
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One-Sided Hardy-Littlewood Maximal Function on Generalised Lorentz Spaces
We provide a proof of the equivalence between the weak- and strong-type boundedness of the one-sided maximal function on...
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Hardy Spaces Associated with Ball Quasi-Banach Function Spaces on Spaces of Homogeneous Type: Littlewood—Paley Characterizations with Applications to Boundedness of Calderón—Zygmund Operators
Let ( χ, ρ, μ ) be a space of homogeneous type in the sense of Coifman and Weiss, and Y ( χ ) a ball quasi-Banach function space on χ , which supports both...
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Refinements of some Hardy–Littlewood–Pólya type inequalities via Green’s functions and Fink’s identity and related results
In this paper, first we present some interesting identities associated with Green’s functions and Fink’s identity, and further we present some...
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Multiple Normalized Solutions for Biharmonic Choquard Equation with Hardy–Littlewood–Sobolev Upper Critical and Combined Nonlinearities
In this paper, we study multiple normalized solutions for biharmonic Choquard equation with Hardy–Littlewood–Sobolev upper critical and combined...
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Integral inequalities using signed measures corresponding to majorization
In this paper we derive majorization type integral inequalities using measure spaces with signed measures. We obtain necessary and sufficient...
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Hardy–Littlewood–Sobolev inequalities for a class of non-symmetric and non-doubling hypoelliptic semigroups
In his seminal 1934 paper on Brownian motion and the theory of gases Kolmogorov introduced a second order evolution equation which displays some...
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Hypoelliptic functional inequalities
In this paper we derive a variety of functional inequalities for general homogeneous invariant hypoelliptic differential operators on nilpotent Lie...
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Weighted Inequalities for Fractional Maximal Functions on the Infinite Rooted k-Ary Tree
In this article, we introduce the fractional Hardy–Littlewood maximal function on the infinite rooted k -ary tree and study its weighted boundedness....
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Operators of Almost Hadamard Type and Hardy–Littlewood Operator in the Space of Entire Functions of Several Complex Variables
AbstractWe introduce the class of operators of almost Hadamard type, that is, linear continuous operators that act on a locally convex space...
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Stability of Hardy Littlewood Sobolev inequality under bubbling
In this note we will generalize the results deduced in Figalli and Glaudo (Arch Ration Mech Anal 237(1):201–258, 2020) and Deng et al. (Sharp...
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The Hardy—Littlewood theorem for double Fourier—Haar series from mixed metric Lebesgue Lp̄[0, 1]2 and net Np̄, q̄(M) spaces
We obtain a criterion given in terms of the Fourier-Haar co-efficients for the function f ( x 1 , x 2 ) to belong to the net space N p̄, q̄ ( M ) and to the...
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On a Reverse Integral Hardy Inequality on Polarisable Metric Measure Space
In this short note, we give reverse integral Hardy inequalities on polarisable metric measure space in the case...