Function Spaces of Logarithmic Smoothness: Embeddings and Characterizations
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Publication:5877455
DOI10.1090/memo/1393OpenAlexW2901647200MaRDI QIDQ5877455
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Publication date: 13 February 2023
Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1811.06399
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Interpolation between normed linear spaces (46B70) Research exposition (monographs, survey articles) pertaining to functional analysis (46-02) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)
Related Items (18)
Weighted Fourier inequalities and boundedness of variation ⋮ Pointwise characterizations of Besov and Triebel-Lizorkin spaces with generalized smoothness and their applications ⋮ New estimates for the maximal functions and applications ⋮ Two-dimensional Hardy-Littlewood theorem for functions with general monotone Fourier coefficients ⋮ Bourgain-Brezis-Mironescu-Maz'ya-Shaposhnikova limit formulae for fractional Sobolev spaces via interpolation and extrapolation ⋮ The superposition operator and Strauss lemma in logarithmic Besov spaces ⋮ Complex interpolation of function spaces with general weights ⋮ Path regularity of the Brownian motion and the Brownian sheet ⋮ On energy conservation for the hydrostatic Euler equations: an Onsager conjecture ⋮ On embedding of Besov spaces of zero smoothness into Lorentz spaces ⋮ New lower bounds for the integration of periodic functions ⋮ Restricting Riesz-logarithmic-Besov potentials ⋮ Embeddings and characterizations of Lipschitz spaces ⋮ Unnamed Item ⋮ Optimal local embeddings of Besov spaces involving only slowly varying smoothness ⋮ Functions preserving general monotone sequence ⋮ Differentiability of logarithmic Besov functions in terms of capacities ⋮ Triebel-Lizorkin spaces with general weights
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