Weighted variable Morrey–Herz estimates for fractional Hardy operators

AbstractThe present article discusses the boundedness criteria for the fractional Hardy operators on weighted variable exponent Morrey–Herz spaces ${M\dot{K}^{\alpha(\cdot),\lambda}_{q,p(\cdot)}(w)}$ M K ˙ q , p ( ⋅ ) α ( ⋅ ) , λ ( w ) .

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Weighted variable exponent Sobolev estimates for elliptic equations with non-standard growth and measure data

Nonlinear Differential Equations and Applications NoDEA ◽

10.1007/s00030-018-0520-z ◽

2018 ◽

Vol 25 (4) ◽

Cited By ~ 3

Author(s):

The Anh Bui ◽

Xuan Thinh Duong

Keyword(s):

Elliptic Equations ◽

Variable Exponent ◽

Measure Data ◽

Sobolev Estimates ◽

Weighted Variable

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Multilinear Hausdorff operators on weighted Herz and Morrey–Herz spaces with variable exponent

Journal of Pseudo-Differential Operators and Applications ◽

10.1007/s11868-021-00437-4 ◽

2022 ◽

Vol 13 (1) ◽

Author(s):

Dongli Liu ◽

Jiman Zhao

Keyword(s):

Variable Exponent ◽

Herz Spaces ◽

Hausdorff Operators

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Hardy Operators on Variable Exponent Spaces

Eigenvalues, Embeddings and Generalised Trigonometric Functions - Lecture Notes in Mathematics ◽

10.1007/978-3-642-18429-1_9 ◽

2011 ◽

pp. 183-209

Author(s):

Jan Lang ◽

David Edmunds

Keyword(s):

Variable Exponent ◽

Variable Exponent Spaces ◽

Hardy Operators

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Multilinear Singular Integrals and Commutators on Herz Space with Variable Exponent

ISRN Mathematical Analysis ◽

10.1155/2014/626327 ◽

2014 ◽

Vol 2014 ◽

pp. 1-10 ◽

Cited By ~ 2

Author(s):

Amjad Hussain ◽

Guilian Gao

Keyword(s):

Singular Integral ◽

Variable Exponent ◽

Singular Integrals ◽

Sufficient Conditions ◽

Integral Operators ◽

Singular Integral Operators ◽

Herz Space ◽

Herz Spaces ◽

Multilinear Singular Integrals

The paper establishes some sufficient conditions for the boundedness of singular integral operators and their commutators from products of variable exponent Herz spaces to variable exponent Herz spaces.

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Endpoint Estimates for Fractional Hardy Operators and Their Commutators on Hardy Spaces

Journal of Function Spaces ◽

10.1155/2014/272864 ◽

2014 ◽

Vol 2014 ◽

pp. 1-9

Author(s):

Jiang Zhou ◽

Dinghuai Wang

Keyword(s):

Hardy Spaces ◽

Herz Spaces ◽

Multilinear Commutators ◽

Hardy Operators

(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. The estimates for multilinear commutators of fractional Hardy operators are also discussed.

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Riemann-Liouville and Higher Dimensional Hardy Operators for NonNegative Decreasing Function inLp(·)Spaces

Abstract and Applied Analysis ◽

10.1155/2014/621857 ◽

2014 ◽

Vol 2014 ◽

pp. 1-5

Author(s):

Muhammad Sarwar ◽

Ghulam Murtaza ◽

Irshaad Ahmed

Keyword(s):

Integral Operator ◽

Variable Exponent ◽

Fractional Integral ◽

Sufficient Conditions ◽

Fractional Integral Operator ◽

Lebesgue Spaces ◽

Higher Dimensional ◽

Necessary And Sufficient ◽

Decreasing Functions ◽

Hardy Operators

One-weight inequalities with general weights for Riemann-Liouville transform andn-dimensional fractional integral operator in variable exponent Lebesgue spaces defined onRnare investigated. In particular, we derive necessary and sufficient conditions governing one-weight inequalities for these operators on the cone of nonnegative decreasing functions inLp(x)spaces.

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