In this paper, we discuss the multilinear commutator of Θ-type Calder6n- Zygmund operators, and obtain that this kind of multilinear commutators is bounded from LP（Rn） to Lq（Rn）, from LP（Rn） to Triebel-Lizorkin...In this paper, we discuss the multilinear commutator of Θ-type Calder6n- Zygmund operators, and obtain that this kind of multilinear commutators is bounded from LP（Rn） to Lq（Rn）, from LP（Rn） to Triebel-Lizorkin spaces and on certain Hardy type spaces.展开更多
In this paper, the boundedness in Lebesgue spaces of commutators and multilinear commutators generated by θ-type Calderon-Zygmund operators with RBMO（μ） functions on non-homogeneous metric measure spaces is obtained.
In this paper,by applying the extension of Rubio de Francia’s extrapolation theorem in Lebesgue spaces with variable exponent,the boundedness of theθ-type Calderon-Zygmund operator Tθis bounded in variable exponent...In this paper,by applying the extension of Rubio de Francia’s extrapolation theorem in Lebesgue spaces with variable exponent,the boundedness of theθ-type Calderon-Zygmund operator Tθis bounded in variable exponent Lebesgue spaces.In addition,the commutators generated by Tθand Besov,BMO and Lipschitz functions are respectively obtained in L^(p)^((·))(R^(n)).展开更多
In this paper, the author discusses the multilinear singular integrals with certain θ-type Calderdn- Zygmund operators and obtain the boundedness from weak H^1 （R^n） to weak L^1 （R^n）.
Let μ be a Radon measure on Rd which may be non-doubling. The only condition that μ must satisfy is μ（B（x,r）） ≤ Urn for all x∈Rd, r 〉 0 and for some fixed 0 〈 n 〈 d. In this paper, under this assumption, w...Let μ be a Radon measure on Rd which may be non-doubling. The only condition that μ must satisfy is μ（B（x,r）） ≤ Urn for all x∈Rd, r 〉 0 and for some fixed 0 〈 n 〈 d. In this paper, under this assumption, we prove that 0-type Calder6n-Zygmund operator which is bounded on L2 （μ） is also bounded from L^∞（μ） into RBMO （μ） and from Hb （μ） into L1（μ）. According to the interpolation theorem introduced by Tolsa, the LP（μ）-boundedness （1 〈 p 〈 ∞） is established for θ-type Calder6n-Zygmund operators. Via a sharp maximal operator, it is shown that commutators and multilinear commutators of θ-type CMderθn-Zygmundoperator with RBMO （μ） function are bounded on LP（μ） （1 〈 p 〈 ∞）.展开更多
In this paper,we first introduce some new kinds of weighted amalgam spaces.Then we discuss the strong type and weak type estimates for a class of Calderόn-Zygmund type operators Tθin these new weighted spaces.Further...In this paper,we first introduce some new kinds of weighted amalgam spaces.Then we discuss the strong type and weak type estimates for a class of Calderόn-Zygmund type operators Tθin these new weighted spaces.Furthermore,the strong type estimate and endpoint estimate of linear commutators[b,Tθ]formed by b and Tθare established.Also we study related problems about two-weight,weak type inequalities for Tθand[b,Tθ]in the weighted amalgam spaces and give some results.展开更多
Let(X, d, μ) be a metric measure space satisfying both the upper doubling and the geometrically doubling conditions in the sense of Hyt?nen. In this paper, the authors obtain the boundedness of the commutators of θ-...Let(X, d, μ) be a metric measure space satisfying both the upper doubling and the geometrically doubling conditions in the sense of Hyt?nen. In this paper, the authors obtain the boundedness of the commutators of θ-type Calderón-Zygmund operators with RBMO functions from L∞(μ) into RBMO(μ) and from Hat1,∞(μ) into L1(μ), respectively.As a consequence of these results, they establish the Lp(μ) boundedness of the commutators on the non-homogeneous metric spaces.展开更多
Let （X,d,μ） be a metric measure space satisfying both the upper doubling and the geometrically doubling conditions in the sense of HytSnen. Under this assumption, we prove that θ-type Calderon-Zygmund operators wh...Let （X,d,μ） be a metric measure space satisfying both the upper doubling and the geometrically doubling conditions in the sense of HytSnen. Under this assumption, we prove that θ-type Calderon-Zygmund operators which are bounded on L2（μ） are also bounded from L∞（μ） into RBMO（μ） and from H1,∞at（μ） into L1（μ）.展开更多
基金NSF of Anhui Province (No.07021019)Education Committee of Anhui Province (No.KJ2007A009)NSF of Chaohu College(No. XLY-200823)
文摘In this paper, we discuss the multilinear commutator of Θ-type Calder6n- Zygmund operators, and obtain that this kind of multilinear commutators is bounded from LP（Rn） to Lq（Rn）, from LP（Rn） to Triebel-Lizorkin spaces and on certain Hardy type spaces.
基金supported by NSF of Anhui Province(No.1608085QA12)NSF of Education Committee of Anhui Province(Nos.KJ2016A506 and KJ2017A454)+2 种基金Excellent Young Talents Foundation of Anhui Province(No.GXYQ2017070)Doctoral Scientific Research Foundation of Chaohu University(No.KYQD-201605)Scientific Research Project of Chaohu University(No.XLY-201501)
文摘In this paper, the boundedness in Lebesgue spaces of commutators and multilinear commutators generated by θ-type Calderon-Zygmund operators with RBMO（μ） functions on non-homogeneous metric measure spaces is obtained.
基金supported by National Natural Science Foundation of China(Grant No.12361018)Key Laboratory of Computational Science and Application of Hainan Province(Grant No.JSKX 202304).
文摘In this paper,by applying the extension of Rubio de Francia’s extrapolation theorem in Lebesgue spaces with variable exponent,the boundedness of theθ-type Calderon-Zygmund operator Tθis bounded in variable exponent Lebesgue spaces.In addition,the commutators generated by Tθand Besov,BMO and Lipschitz functions are respectively obtained in L^(p)^((·))(R^(n)).
基金This material is based upon work funded by Zhejiang Provincial Natural Science Foundation of China under Grant （N0.M103069）.Supported by the Education Dept. of Zhejiang Province （20021022）.Acknowledgements. The author would like to express his deep thanks to the referee for his/her many valuable remark.
文摘In this paper, the author discusses the multilinear singular integrals with certain θ-type Calderdn- Zygmund operators and obtain the boundedness from weak H^1 （R^n） to weak L^1 （R^n）.
基金Supported by National Natural Science Foundation of China (No.10371087)Natural Science Foundation of Education Committee of Anhui Province (No.KJ2011A138, No.KJ2012B116)
文摘Let μ be a Radon measure on Rd which may be non-doubling. The only condition that μ must satisfy is μ（B（x,r）） ≤ Urn for all x∈Rd, r 〉 0 and for some fixed 0 〈 n 〈 d. In this paper, under this assumption, we prove that 0-type Calder6n-Zygmund operator which is bounded on L2 （μ） is also bounded from L^∞（μ） into RBMO （μ） and from Hb （μ） into L1（μ）. According to the interpolation theorem introduced by Tolsa, the LP（μ）-boundedness （1 〈 p 〈 ∞） is established for θ-type Calder6n-Zygmund operators. Via a sharp maximal operator, it is shown that commutators and multilinear commutators of θ-type CMderθn-Zygmundoperator with RBMO （μ） function are bounded on LP（μ） （1 〈 p 〈 ∞）.
文摘In this paper,we first introduce some new kinds of weighted amalgam spaces.Then we discuss the strong type and weak type estimates for a class of Calderόn-Zygmund type operators Tθin these new weighted spaces.Furthermore,the strong type estimate and endpoint estimate of linear commutators[b,Tθ]formed by b and Tθare established.Also we study related problems about two-weight,weak type inequalities for Tθand[b,Tθ]in the weighted amalgam spaces and give some results.
基金supported by the National Natural Science Foundation of China(No.11671414)
文摘Let(X, d, μ) be a metric measure space satisfying both the upper doubling and the geometrically doubling conditions in the sense of Hyt?nen. In this paper, the authors obtain the boundedness of the commutators of θ-type Calderón-Zygmund operators with RBMO functions from L∞(μ) into RBMO(μ) and from Hat1,∞(μ) into L1(μ), respectively.As a consequence of these results, they establish the Lp(μ) boundedness of the commutators on the non-homogeneous metric spaces.
基金This work was supported in part by the National Natural Science Foundation of China （Grant No. 11271091）.
文摘Let （X,d,μ） be a metric measure space satisfying both the upper doubling and the geometrically doubling conditions in the sense of HytSnen. Under this assumption, we prove that θ-type Calderon-Zygmund operators which are bounded on L2（μ） are also bounded from L∞（μ） into RBMO（μ） and from H1,∞at（μ） into L1（μ）.
