Temperatures, Riesz Potentials, and the Lipschitz Spaces of Herz
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Publication:5678014
DOI10.1112/plms/s3-27.2.290zbMath0262.46037OpenAlexW2014220045MaRDI QIDQ5678014
Publication date: 1973
Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1112/plms/s3-27.2.290
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Heat equation (35K05) Integral representations of solutions to PDEs (35C15) Multipliers in one variable harmonic analysis (42A45)
Related Items (28)
On the theory of homogeneous Lipschitz spaces and mean oscillation spaces ⋮ Unnamed Item ⋮ Inversion of potentials in \(R^ n\) by means of Gauss-Weierstrass integrals ⋮ On the approximation properties of bi-parametric potential-type integral operators ⋮ Generalized Dunkl-Lipschitz spaces ⋮ Variable exponent Herz spaces ⋮ Besov spaces and Sobolev spaces on a nilpotent Lie group ⋮ On the boundedness of Marcinkiewicz integrals on continual variable exponent Herz spaces ⋮ Embeddings of Decomposition Spaces ⋮ Choosing Function Spaces in Harmonic Analysis ⋮ Parametrized Marcinkiewicz integrals on Herz spaces with variable exponents ⋮ Convoluteurs of 𝐻^{𝑝} spaces ⋮ Besov spaces and Bessel potential spaces on certain groups ⋮ Characterizations of weighted Besov and Triebel-Lizorkin spaces via temperatures ⋮ Herz spaces meet Morrey type spaces and complementary Morrey type spaces ⋮ Backwards uniqueness in time for solutions of possibly degenerate equations of parabolic type ⋮ Multipliers of the Hölder classes ⋮ A new characterization of the Riesz potential spaces with the aid of a composite wavelet transform ⋮ Global existence, asymptotic behavior and self-similar solutions for a class of semilinear parabolic systems ⋮ Multipliers of \(H^p\) spaces ⋮ Characterizations of weighted Besov and Triebel-Lizorkin spaces via temperatures ⋮ Riesz potential operator in continual variable exponents Herz spaces ⋮ Herz–Morrey spaces of variable exponent, Riesz potential operator and duality ⋮ A note on the boundedness of sublinear operators on grand variable Herz spaces ⋮ Calderón reproducing formulas and new Besov spaces associated with operators ⋮ Lipschitz and Triebel-Lizorkin spaces associated with the Dunkl operators on \(\mathbb{R}^d\) ⋮ Boundedness of the Marcinkiewicz integral on grand variable Herz spaces ⋮ Coincidence of variable exponent Herz spaces with variable exponent Morrey type spaces and boundedness of sublinear operators in these spaces
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