Composition and L²-boundedness of flag kernels

Paweł  Głowacki

Displaying similar documents to “Composition and L²-boundedness of flag kernels”

Correction to "Composition and L²-boundedness of flag kernels" (Colloq. Math. 118 (2010), 581-585)

Paweł Głowacki (2010)

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Paweł Głowacki (1987)

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Littlewood-Paley g-functions with rough kernels on homogeneous groups

Yong Ding, Xinfeng Wu (2009)

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Let 𝔾 be a homogeneousgroup on ℝⁿ whose multiplication and inverse operations are polynomial maps. In 1999, T. Tao proved that the singular integral operator with Llog⁺L function kernel on ≫ is both of type (p,p) and of weak type (1,1). In this paper, the same results are proved for the Littlewood-Paley g-functions on 𝔾

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Maximal singular integrals on product homogeneous groups

Yong Ding, Shuichi Sato (2014)

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We prove $L^{p}$ boundedness for p ∈ (1,∞) of maximal singular integral operators with rough kernels on product homogeneous groups under a sharp integrability condition of the kernels.

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A. Korányi, S. Vági (1971)

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Sharp pointwise estimate for the kernels of the semigroup generated by sums of even powers of vector fields on homogeneous groups

Waldemar Hebisch (1989)

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Convolution operators on Hardy spaces

Chin-Cheng Lin (1996)

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We give sufficient conditions on the kernel K for the convolution operator Tf = K ∗ f to be bounded on Hardy spaces $H^{p} (G)$ , where G is a homogeneous group.

Homogeneous superassociative systems

H. Länger (1980)

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Generalized homogeneous Besov spaces and their applications

Mejjaoli, Hatem (2012)

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2010 Mathematics Subject Classification: Primary 35L05. Secondary 46E35, 35J25, 22E30. In this paper we define the homogeneous Besov spaces associated with the Dunkl operators on R^d, and we give a complete analysis on these spaces and same applications.

Homogeneous functions and conjugacy.

Lasserre, Jean B. (1998)

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B. Gilligan (1986)

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Cora Sadosky (1966)

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G.I. Gaudry, T. Qian (1994)

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The Campanato, Morrey and Hölder spaces on spaces of homogeneous type

Eiichi Nakai (2006)

Studia Mathematica

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We investigate the relations between the Campanato, Morrey and Hölder spaces on spaces of homogeneous type and extend the results of Campanato, Mayers, and Macías and Segovia. The results are new even for the ℝⁿ case. Let (X,d,μ) be a space of homogeneous type and (X,δ,μ) its normalized space in the sense of Macías and Segovia. We also study the relations of these function spaces for (X,d,μ) and for (X,δ,μ). Using these relations, we can show that theorems for the Campanato, Morrey or...