On weighted norm inequalities for the maximal function
Angel Gatto, Cristian Gutiérrez (1983)
Studia Mathematica
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Angel Gatto, Cristian Gutiérrez (1983)
Studia Mathematica
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İlker Eryilmaz (2012)
Colloquium Mathematicae
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The boundedness, compactness and closedness of the range of weighted composition operators acting on weighted Lorentz spaces L(p,q,wdμ) for 1 < p ≤ ∞, 1 ≤ q ≤ ∞ are characterized.
G. Greaves (1985)
Banach Center Publications
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B. E. Wynne, T. V. Narayana (1981)
Cahiers du Bureau universitaire de recherche opérationnelle Série Recherche
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J. Pečarić (1980)
Matematički Vesnik
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Agnieszka Kałamajska (1994)
Studia Mathematica
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Dazhao Chen (2014)
Colloquium Mathematicae
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We establish weighted sharp maximal function inequalities for a linear operator associated to a singular integral operator with non-smooth kernel. As an application, we obtain the boundedness of a commutator on weighted Lebesgue spaces.
Bichegkuev, M.S. (1999)
Vladikavkazskiĭ Matematicheskiĭ Zhurnal
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Oinarov, R., Kalybay, A. (2008)
Banach Journal of Mathematical Analysis [electronic only]
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García-Cuerva, José
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Steven Bloom (1997)
Studia Mathematica
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Let , where k is a nonnegative kernel increasing in x, decreasing in y, and satisfying a triangle inequality. An nth-order Opial inequality has the form . Such inequalities can always be simplified to nth-order reduced inequalities, where the exponent . When n = 1, the reduced inequality is a standard weighted norm inequality, and characterizing the weights is easy. We also find necessary and sufficient conditions on the weights for second-order reduced Opial inequalities to hold. ...
Lihua Peng, Yong Jiao (2015)
Studia Mathematica
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We introduce the minimal operator on weighted grand Lebesgue spaces, discuss some weighted norm inequalities and characterize the conditions under which the inequalities hold. We also prove that the John-Nirenberg inequalities in the framework of weighted grand Lebesgue spaces are valid provided that the weight function belongs to the Muckenhoupt class.