All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Previous Page 77 Next

Displaying 1521 – 1540 of 1635

Showing per page

Weighted multi-parameter mixed Hardy spaces and their applications

Wei Ding, Yun Xu, Yueping Zhu (2022)

Czechoslovak Mathematical Journal

Applying discrete Calderón’s identity, we study weighted multi-parameter mixed Hardy space H mix p ( ω , ℝ n 1 × ℝ n 2 ) . Different from classical multi-parameter Hardy space, this space has characteristics of local Hardy space and Hardy space in different directions, respectively. As applications, we discuss the boundedness on H mix p ( ω , ℝ n 1 × ℝ n 2 ) of operators in mixed Journé’s class.

Weighted norm estimates for the maximal operator of the Laguerre functions heat diffusion semigroup

R. Macías, C. Segovia, J. L. Torrea (2006)

Studia Mathematica

We obtain weighted L p boundedness, with weights of the type y δ , δ > -1, for the maximal operator of the heat semigroup associated to the Laguerre functions, ℒ k α k , when the parameter α is greater than -1. It is proved that when -1 < α < 0, the maximal operator is of strong type (p,p) if p > 1 and 2(1+δ)/(2+α) < p < 2(1+δ)/(-α), and if α ≥ 0 it is of strong type for 1 < p ≤ ∞ and 2(1+δ)/(2+α) < p. The behavior at the end points of the intervals where there is strong type is studied...

Weighted norm inequalities for Calderón-Zygmund operators without doubling conditions.

Xavier Tolsa (2007)

Publicacions Matemàtiques

Let µ be a Borel measure on Rd which may be non doubling. The only condition that µ must satisfy is µ(B(x, r)) ≤ Crn for all x ∈ Rd, r &gt; 0 and for some fixed n with 0 &lt; n ≤ d. In this paper we introduce a maximal operator N, which coincides with the maximal Hardy-Littlewood operator if µ(B(x, r)) ≈ rn for x ∈ supp(µ), and we show that all n-dimensional Calderón-Zygmund operators are bounded on Lp(w dµ) if and only if N is bounded on Lp(w dµ), for a fixed p ∈ (1, ∞). Also, we prove...

Weighted norm inequalities for maximal singular integrals with nondoubling measures

Guoen Hu, Dachun Yang (2008)

Studia Mathematica

Let μ be a nonnegative Radon measure on ℝ d which satisfies μ(B(x,r)) ≤ Crⁿ for any x ∈ ℝ d and r > 0 and some positive constants C and n ∈ (0,d]. In this paper, some weighted norm inequalities with A p ϱ ( μ ) weights of Muckenhoupt type are obtained for maximal singular integral operators with such a measure μ, via certain weighted estimates with A ∞ ϱ ( μ ) weights of Muckenhoupt type involving the John-Strömberg maximal operator and the John-Strömberg sharp maximal operator, where ϱ,p ∈ [1,∞).

Currently displaying 1521 – 1540 of 1635