منابع مشابه
Estimates for Maximal Singular Integrals
It is shown that maximal truncations of nonconvolution L-bounded singular integral operators with kernels satisfying Hörmander’s condition are weak type (1, 1) and L bounded for 1 < p < ∞. Under stronger smoothness conditions, such estimates can be obtained using a generalization of Cotlar’s inequality. This inequality is not applicable here and the point of this article is to treat the bounded...
متن کاملWeights for maximal functions and singular integrals
These notes are a guide for the course to be taught at the NCTS 2005 Summer School on Harmonic Analysis in Taiwan. They contain a description of results and sometimes short indications about the proofs. Moreover, each section contains a list of references. For an introduction to the subject it is better to go to the books mentioned in the bibliography at the end of the notes: each one of them i...
متن کاملLp BOUNDS FOR SINGULAR INTEGRALS AND MAXIMAL SINGULAR
Convolution type Calderr on-Zygmund singular integral operators with rough kernels p.v. (x)=jxj n are studied. A condition on implying that the corresponding singular integrals and maximal singular integrals map L p ! L p for 1 < p < 1 is obtained. This condition is shown to be diierent from the condition 2 H 1 (S n?1).
متن کاملL Bounds for Singular Integrals and Maximal Singular Integrals with Rough Kernels
Convolution type Calderón-Zygmund singular integral operators with rough kernels p.v. Ω(x)/|x| are studied. A condition on Ω implying that the corresponding singular integrals and maximal singular integrals map L → L for 1 < p < ∞ is obtained. This condition is shown to be different from the condition Ω ∈ H1(Sn−1).
متن کاملMaximal Operator and Weighted Norm Inequalities for Multilinear Singular Integrals
The analysis of multilinear singular integrals has much of its origins in several works by Coifman and Meyer in the 70’s; see for example [3]. More recently, in [4] and [5], an updated systematic treatment of multilinear singular integral operators of Calderón-Zygmund type was presented in light of some new developments. See also [6] and the references therein for a detailed description of prev...
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ژورنال
عنوان ژورنال: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE
سال: 2009
ISSN: 2036-2145,0391-173X
DOI: 10.2422/2036-2145.2009.3.07