[PDF] Top 20 Weighted norm inequalities for a class of rough singular integrals

... Weighted norm inequalities are proved for a rough homogeneous singular integral operator and its corresponding maximal truncated singular operator.. Our results are essential improvement[r] ... See full document

... of singular integral operators defined by mappings of finite ...such singular integral operators are bounded on the Lebesgue spaces under the condition that the singular kernels are allowed to be in ... See full document

... classical weighted-norm inequalities, starting from Muckenhoupt’s result in 1975 [6], there have been extensive studies on two-weighted norm inequalities (for textbooks [7-10] ... See full document

... the weighted norm inequalities for higher-order commutators formed by a class of one-sided oscillatory singular integrals and BMO ...Calderón-Zygmund singular integral ... See full document

... Ziesler, “Singular Integrals and Maximal Functions Associated to Surfaces of Revolution,” Bulletin London Mathematical Society, Vol.. Yang, “Rough Singular Integrals Associated to Surfac[r] ... See full document

... multilinear singular integral ...S.Z.: Weighted boundedness for a class rough multilinear ...Multilinear singular integral with rough ...multilinear singular integral ... See full document

... the weighted norm estimate of the oscillation and variation operators for the commutators of Calderón-Zygmund singular integrals with BMO functions in dimension ... See full document

... A singular integral operator with rough ...A weighted norm inequality for rough singular ...of singular integrals with variable ...of rough singular ... See full document

... The authors give the weighted Lp , Lq -boundedness of the rough fractional integral operator TΩ,α and the fractional maximal operator MΩ,α with two different weight functions.. 2000 Mathe[r] ... See full document

... The weighted Morrey spaces L p,k (w) was introduced by Komori and Shirai ...in weighted Morrey ...on weighted Morrey ...on weighted Morrey spaces and obtained some results similar to ... See full document

... Uncertainty Ineguality, Fourier Transform, Variance, Entropy.. Hadoff-Young Ineguality, Weighted Norm Inequalities.[r] ... See full document

...  (2) which is called the ˇ Cebysev functional, provided the integrals in (2) exist. In recent years many researchers have given the generalization of ˇ Cebysev type inequalities, we can mention the works ... See full document

... vector-valued weighted norm inequalities for T and T ∗ are ...applications, weighted strong type estimates for vector-valued commutators associated with T and T ∗ are deduced ... See full document

... Integral inequalities play a dominant role in the study quantitative properties of solutions of differential and inte- gral ...famous inequalities of this type is known as “Gronwall’s inequality”, ... See full document

... The oscillation and variation for some families of operators have been studied by many authors on probability, ergodic theory, and harmonic analysis; see [–]. Recently, some authors [–] researched the weighted ... See full document

... with weighted Lebesgue spaces play an im- portant role in the theory of partial differential equations; they appeared to be quite useful in the study of local behavior of the solutions of elliptic differential ... See full document

... Subsequently, Ying and Chen [] (resp., Al-Salman et al. []) extended the result of [] to the multiple singular integrals along polynomial curves (resp., associated with poly- nomial mappings). We also ... See full document

... Abstract. In this paper, we study a mixed problem with a nonlocal condition for a class of second order singular hyperbolic equations. We prove the existence and uniqueness of a strong solution. The proof ... See full document

... in weighted Morrey ...in weighted Morrey ...on weighted Morrey spaces with the symbol of b ∈ Lip(β ...the singular integral operator whose kernel is a variable kernel with mixed homogeneity ... See full document

... The purpose of this paper is to derive the norm inequalities for the composite operator D◦ G of the Hodge-Dirac operator D and Green’s operator G on differential forms. Specif- ically, we will develop the ... See full document