Lipschitz spaces under fractional convolution

DOI10.32513/ASETMJ/193220082332zbMATH Open1540.42015MaRDI QIDQ6549908

Erdem Toksoy

Publication date: 4 June 2024

Published in: Advanced Studies: Euro-Tbilisi Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

convolutionfractional Fourier transformLipschitz spaces

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Lipschitz (Hölder) classes (26A16) Fractional derivatives and integrals (26A33) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Convolution, factorization for one variable harmonic analysis (42A85)

Cites Work

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• Approximate identities and factorization in Banach modules
• On a class of convolution algebras of functions
• Nonfactorization in commutative, weakly self-adjoint Banach algebras
• On a family of weighted convolution algebras
• On function spaces with fractional Fourier transform in weighted Lebesgue spaces
• On functions with Fourier transforms in \(L_ p\)
• The Fractional Order Fourier Transform and its Application to Quantum Mechanics
• A Characterisation of Lipschitz Classes on 0-Dimensional Groups
• Some compact and non-compact embedding theorems for the function spaces defined by fractional Fourier transform
• The Algebra of Functions with Fourier Transforms in L p
• On some properties of $A^P \left( G \right)$-algebras
• On two classes of subalgebras of $L^1 \left( G \right)$
• Multipliers from \(L_1(G)\) to a Lipschitz space

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