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Jorsboe O.G., Mejlbro L. — The Carleson-Hunt Theorem on Fourier Series |
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Предметный указатель |
Adjoint operator, formally 15
Carleson — Hunt’s theorem 17 20
Central interval 88
Dirichlet kernel 62
Dirichlet problem 25
Distribution function 4
Dyadic interval 46
Estimate of 110
Estimate, exponential 40
Estimates of 80
Estimates of 64
Estimation of elements 101
Exponential estimate 40
Formally adjoint operator 15
Fourier coefficients, generalized 52
Function, simple 4
Function, simple of order 120
Generalized Fourier coefficients 52
Hardy — Littlewood maximal operator 10
Hilbert transform 24
Hilbert transform, maximal 24
Hilbert transform, maximal with respect to 47
Hilbert transform, modified maximal with respect to to 48
Hilbert transform, with respect to 47
Interval, central 88
Interval, dyadic 46
Interval, smoothing 46
Kernel, Dirichlet 62
Marcinkiewicz’ theorem 8
| Maximal Hilbert transform 24
Maximal Hilbert transform with respect to 47
Maximal operator 10
Maximal operator, Hardy — Littlewood 10
Modified maximal Hilbert transform with respect to 48
Operator of restricted type 6
Operator of restricted weak type 6
Operator of strong type 5
Operator of type 5
Operator of weak type 5
Operator, formally adjoint 15
Operator, Hardy — Littlewood maximal 10
Operator, maximal 10
Operator, sublinear 4
Restricted type 6
Restricted weak type 6
Simple function 4
Simple function of order 120
Smoothing interval 46
Splitting 87
Stein — Weiss 1
Strong type 5
Sublinear operator 4
Theorem 15 17
Theorem, Carleson — Hunt’s 17 20
Theorem, Marcinkiewicz 8
Theorem, Stein — Weiss 15 17
Type 5
Weak type 5
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