Sharp $L^p$-weighted Sobolev inequalities

Carlos Pérez

Displaying similar documents to “Sharp $L^{p}$ -weighted Sobolev inequalities”

$L^{p}$ weighted inequalities for the dyadic square function

Akihito Uchiyama (1995)

Studia Mathematica

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We prove that $ʃ {(S_{d} f)}^{p} V d x \leq C_{p, n} ʃ {| f |}^{p} M_{d}^{([p / 2] + 2)} V d x$ , where $S_{d}$ is the dyadic square function, $M_{d}^{(k)}$ is the k-fold application of the dyadic Hardy-Littlewood maximal function and p > 2.

Endpoint estimates and weighted norm inequalities for commutators of fractional integrals.

D. Cruz-Uribe, A. Fiorenza (2003)

Publicacions Matemàtiques

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A remark on Fefferman-Stein's inequalities.

Y. Rakotondratsimba (1998)

Collectanea Mathematica

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It is proved that, for some reverse doubling weight functions, the related operator which appears in the Fefferman Stein's inequality can be taken smaller than those operators for which such an inequality is known to be true.

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.

On the two-weight problem for singular integral operators

David Cruz-Uribe, Carlos Pérez (2002)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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We give $A_{p}$ type conditions which are sufficient for two-weight, strong $(p, p)$ inequalities for Calderón-Zygmund operators, commutators, and the Littlewood-Paley square function $g_{λ}^{*}$ . Our results extend earlier work on weak $(p, p)$ inequalities in [13].

Hardy-Sobolev Inequalities for Hessian Integrals

Nunzia Gavitone (2007)

Bollettino dell'Unione Matematica Italiana

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Using appropriate symmetrization arguments, we prove the Hardy-Sobolev type inequalities for Hessian Integrals which extend the classical results, well known for Sobolev functions. For such inequalities the value of the best constant is given. Finally we give an improvement of these inequalities by adding a second term that, involves another singular weight which is a suitable negative power of $\log(|x|)$ .

The equivalence of two conditions for weight functions

Benjamin Muckenhoupt (1974)

Studia Mathematica

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Weighted endpoint estimates for commutators of fractional integrals

David Cruz-Uribe, Alberto Fiorenza (2007)

Czechoslovak Mathematical Journal

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Given $α$ , $0 < α < n$ , and $b \in B M O$ , we give sufficient conditions on weights for the commutator of the fractional integral operator, $[b, I_{α}]$ , to satisfy weighted endpoint inequalities on $ℝ^{n}$ and on bounded domains. These results extend our earlier work [3], where we considered unweighted inequalities on $ℝ^{n}$ .

Two-weight mixed norm inequalities for maximal operators and extrapolation results for the fractional maximal operator

Mark Leckband (1987)

Studia Mathematica

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Displaying similar documents to “Sharp L p -weighted Sobolev inequalities”

Displaying similar documents to “Sharp $L^{p}$ -weighted Sobolev inequalities”