Herz-type Sobolev and Bessel potential spaces and their applications

DOI10.1007/BF02874431zbMath0901.46027MaRDI QIDQ1368265

Lu, Shanzhen, Da Chun Yang

Publication date: 28 September 1997

Published in: Science in China. Series A (Search for Journal in Brave)

zbMATH Keywords

regularitycompensated compactnessHerz-type Hardy spacesSobolev theoremHerz-type Bessel potential spacesHerz-type Sobolev spaces

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (18)

Convolution operators on the weighted Herz-type Hardy spaces ⋮ Composition operators on Herz-type Triebel-Lizorkin spaces with application to semilinear parabolic equations ⋮ Mixed-norm Herz spaces and their applications in related Hardy spaces ⋮ The compactly supported wavelet characterization of non-homogeneous Herz-Sobolev spaces with variable exponent ⋮ Nemytzkij operators on Sobolev spaces with power weights. I ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Weak estimates of singular integrals with variable kernel and fractional differentiation on Morrey-Herz spaces ⋮ Some estimates for Bochner-Riesz operators on the weighted Herz-type Hardy spaces ⋮ A T(b) type theorem on the weighted Herz-type Hardy spaces and applications ⋮ Some estimates of intrinsic square functions on the weighted Herz-type Hardy spaces ⋮ On the theory of Besov-Herz spaces and Euler equations ⋮ Remarks on Herz-type Hardy spaces ⋮ Div-curl lemma with critical power weights in dimension three ⋮ On the continuity of pseudo-differential operators on multiplier spaces associated to Herz-type Triebel-Lizorkin spaces ⋮ Jawerth-Franke embeddings of Herz-type Besov and Triebel-Lizorkin spaces ⋮ Some results for the commutators of generalized Hausdorff operator ⋮ Herz-type Triebel-Lizorkin spaces. I

Cites Work

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• Hardy Spaces and Beurling Algebras
• The local versions of $H^p(ℝ^n)$ spaces at the origin
• Hardy-Littlewood-Sobolev Theorems of Fractional Integration on Herz-Type Spaces and its Applications

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