Results 21 to 30 of about 3,818 (265)
Journal of Function Spaces, 2014 The aim of this paper is to prove the boundedness of the Hardy-Littlewood maximal operator on weighted Morrey spaces and multilinear maximal operator on multiple weighted Morrey spaces. In particular, the result includes the Komori-Shirai theorem and the
Takeshi Iida
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Complete Continuity of Composition-Differentiation Operators on the Hardy Space H1
Journal of Function Spaces, 2023 We study composition-differentiation operators on the Hardy space H1 on the unit disk. We prove that if φ is an analytic self-map of the unit disk such that the composition-differentiation operator induced by φ is bounded on the Hardy space H1, then it ...
Ali Abkar
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Iterated discrete Hardy-type inequalities with three weights for a class of matrix operators
Қарағанды университетінің хабаршысы. Математика сериясы, 2023 Iterated Hardy-type inequalities are one of the main objects of current research on the theory of Hardy inequalities. These inequalities have become well-known after study boundedness properties of the multidimensional Hardy operator acting from the ...
N.S. Zhangabergenova, A.M. Temirhanova
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Endpoint Estimates for Fractional Hardy Operators and Their Commutators on Hardy Spaces [PDF]
Journal of Function Spaces, 2014 (Hpℝn,Lqℝn)bounds of fractional Hardy operators are obtained. Moreover, the estimates for commutators of fractional Hardy operators on Hardy spaces are worked out. It is also proved that the commutators of fractional Hardy operators are mapped from the Herz-type Hardy spaces into the Herz spaces.
Jiang Zhou, Dinghuai Wang
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A Characterization of Central BMO Space via the Commutator of Fractional Hardy Operator
Journal of Function Spaces, 2020 This paper is devoted in characterizing the central BMO ℝn space via the commutator of the fractional Hardy operator with rough kernel. Precisely, by a more explicit decomposition of the operator and the kernel function, we will show that if the symbol ...
Lei Zhang, Shaoguang Shi
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Hardy spaces for Bessel–Schrödinger operators [PDF]
Mathematische Nachrichten, 2018 AbstractConsider the Bessel operator with a potential on , namely urn:x-wiley:0025584X:media:mana201600286:mana201600286-math-0002We assume that and is a nonnegative function. By definition, a function belongs to the Hardy space if urn:x-wiley:0025584X:media:mana201600286:mana201600286-math-0007Under certain assumptions on V we characterize the ...
Kania, Edyta, Preisner, Marcin
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Commutators of the Fractional Hardy Operator on Weighted Variable Herz-Morrey Spaces
Journal of Function Spaces, 2021 In the present paper, our aim is to establish the boundedness of commutators of the fractional Hardy operator and its adjoint operator on weighted Herz-Morrey spaces with variable exponents MK̇p,q⋅α⋅,λw.
Amjad Hussain +3 more
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Generalized integration operators on Hardy spaces
Proceedings of the American Mathematical Society, 2020 We introduce a natural generalization of a well-studied integration operator acting on the family of Hardy spaces in the unit disc. We study the boundedness and compactness properties of the operator and finally we use these results to give simple proofs of a result of Rättyä and another result by Cohn and Verbitsky.
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Hardy operator with variable limits on monotone functions
Journal of Function Spaces and Applications, 2003 We characterize weighted Lp-Lq inequalities with the Hardy operator of the form Hf(x)=∫a(x)b(x)f(y)u(y) dy with a non-negative weight function u, restricted to the cone of monotone functions on the semiaxis. The proof is based on the Sawyer criterion and
Vladimir D. Stepanov, Elena P. Ushakova
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Pseudodifferential Operators on Weighted Hardy Spaces [PDF]
Journal of Function Spaces, 2020 We study two sufficient conditions for the boundedness of a class of pseudodifferential operators T with symbols in the Hölmander class Sρ,δmℝn on weighted Hardy spaces Hω1ℝn, where ω belongs to Muckenhoupt class Ap. The first one is an estimate from Hω1ℝn into Lω1ℝn. We get a better range of admissible p and m.
Yu-long Deng, Shun-chao Long
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