Characterization for Beurling-Björck space and Schwartz space

DOI10.1090/S0002-9939-97-04221-4zbMath0887.46013OpenAlexW1959097068MaRDI QIDQ4372362

Sung-Jin Lee, Soon-Yeong Chung, Dohan Kim

Publication date: 11 December 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-97-04221-4

zbMATH Keywords

Fourier transformSchwartz spacetempered ultradistributionsLandau inequalityestimates of derivativesBeurling-Björck space

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

Related Items (8)

Regularity of partial differential operators in ultradifferentiable spaces and Wigner type transforms ⋮ Unnamed Item ⋮ Characterization of nuclearity for Beurling–Björck spaces ⋮ Structure theorem for functionals in the space \(\mathfrak S^{\prime}_{\omega_1,\omega_{2}}\) ⋮ The action of operator semigroups on the topological dual of the Beurling-Björck space ⋮ On the non-triviality of certain spaces of analytic functions. Hyperfunctions and ultrahyperfunctions of fast growth ⋮ Spaces of generalized type \({\mathcal H}_\mu\), spaces of type \(S\) and the Hankel transformation ⋮ Convolution and multiplication operators in Fourier hyperfunctions

Cites Work

• Note on the \(n\)-dimensional tempered ultra distributions
• A characterization for Fourier hyperfunctions
• Distributions with exponential growth and Bochner-Schwartz theorem for Fourier hyperfunctions
• Linear partial differential operators and generalized distributions
• Characterizations of the Gelfand-Shilov spaces via Fourier transforms
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