Some weighted sum and product inequalities in spaces and their applications.
Brown, R.C. (2008)
Banach Journal of Mathematical Analysis [electronic only]
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Displaying similar documents to “On weighted norm inequalities for the maximal function”
Some weighted sum and product inequalities in spaces and their applications.
The equivalence of two conditions for weight functions
Benjamin Muckenhoupt (1974)
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Higher integrability with weights.
Kinnunen, Juha (1994)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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Weighted sharp maximal function inequalities and boundedness of a linear operator associated to a singular integral operator with non-smooth kernel
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.
Weighted norm inequalities for maximal functions from the Muckenhoupt conditions.
Y. Rakotondratsimba (1994)
Publicacions Matemàtiques
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For some pairs of weight functions u, v which satisfy the well-known Muckenhoupt conditions, we derive the boundedness of the maximal fractional operator M (0 ≤ s < n) from L to L with q < p.
Two weighted inequalities for convolution maximal operators.
Ana Lucía Bernardis, Francisco Javier Martín-Reyes (2002)
Publicacions Matemàtiques
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Let φ: R → [0,∞) an integrable function such that φχ = 0 and φ is decreasing in (0,∞). Let τf(x) = f(x-h), with h ∈ R {0} and f(x) = 1/R f(x/R), with R > 0. In this paper we characterize the pair of weights (u, v) such that the operators Mf(x) = sup|f| * [τφ](x) are of weak type (p, p) with respect to (u, v), 1 < p < ∞.
Integral inequalities with weights for the Hardy maximal function
R. Kerman, A. Torchinsky (1982)
Studia Mathematica
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Weighted norm inequalities and Schur's Lemma
Michael Christ (1984)
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Pointwise multiplicative inequalities and Nirenberg type estimates in weighted Sobolev spaces
Agnieszka Kałamajska (1994)
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Norm inequalities for off-centered maximal operators.
Richard L. Wheeden (1993)
Publicacions Matemàtiques
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Sufficient conditions are derived in order that there exist strong-type weighted norm inequalities for some off-centered maximal functions. The maximal functions are of Hardy-Littlewood and fractional types taken over starlike sets in R. The sufficient conditions are close to necessary and extend some previously known weak-type results.