Asymptotics of singular numbers of smooth kernels via trigonometric transforms

DOI10.1016/0022-247X(90)90423-DzbMath0699.42001MaRDI QIDQ913180

Charles Oehring

Publication date: 1990

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Hardy-Littlewood methodblendingLipschitz spaces

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Eigenvalue problems for integral equations (45C05)

Related Items (4)

Exact asymptotic behavior of singular values of a class of integral operators ⋮ Inequalities related to smoothness conditions and Fourier series ⋮ Functions with general monotone Fourier coefficients ⋮ Asymptotics of rearranged trigonometric and Walsh-Fourier coefficients of smooth functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some integrability theorems of trigonometric series and monotone decreasing functions
• Inequalities for monotonic series
• Some new characterizations of the Chebyshev polynomials
• Growth estimates for the singular values of square-integrable kernels
• Summability of singular values of \(L_2\) kernels. Analogies with Fourier series
• Composite integral operators and nuclearity
• Eigenvalues of \(p\)-summing and \(\ell_p\)-type operators in Banach spaces
• Interpolation of several Banach spaces
• Embedding theorems for functions of one variable
• Über den Stetigkeitsmodul von Fourier-Reihen mit monotonen Koeffizienten
• Integrability theorems of powers of trigonometric series with quasi- monotone coefficients
• Fourier series with positive coefficients
• Sur le comportement asymptotique des transformations linéaires des suites
• Über die Verteilung der Approximationszahlen kompakter Operatoren in Sobolev-Besov-Räumen
• On L(p,q) spaces
• An inequality of the Hölder type, connected with Stieltjes integration
• On the theory of spaces \(\Lambda\)
• Some Theorems on Fourier Coefficients
• Eigen-values of Lipschitz kernels
• Partition Functions Whose Logarithms are Slowly Oscillating
• EXISTENCE OF A BASIS IN THE SPACE OF FUNCTIONS ANALYTIC IN THE DISK, AND SOME PROPERTIES OF FRANKLIN'S SYSTEM
• An Extension of an Operator Inequality for s-Numbers
• Quasi-Positive Sequences and Trigonometric Series^†
• Regularly Varying Sequences
• The Eigen-Values and Singular Values of Integral Equations^†
• Inequalities between the Two Kinds of Eigenvalues of a Linear Transformation
• A New Proof of a Theorem on Rearrangements
• NOTES ON FOURIER SERIES (III): ASYMPTOTIC FORMULAE FOR THE SUMS OF CERTAIN TRIGONOMETRICAL SERIES

This page was built for publication: Asymptotics of singular numbers of smooth kernels via trigonometric transforms