Wyniki wyszukiwania

1

Hankel multipliers and transplantation operators

100%

Stempak K., Trebels W.

Studia Mathematica

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1997

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tom 126

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nr 1

51-66

EN

Connections between Hankel transforms of different order for $L^p$-functions are examined. Well known are the results of Guy [Guy] and Schindler [Sch]. Further relations result from projection formulae for Bessel functions of different order. Consequences for Hankel multipliers are exhibited and implications for radial Fourier multipliers on Euclidean spaces of different dimensions indicated.

2

Fractional powers of operators, K-functionals, Ulyanov inequalities

100%

Trebels W., Westphal U.

Banach Center Publications

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2010

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tom 88

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nr 1

273-283

EN

Given an equibounded (𝓒₀)-semigroup of linear operators with generator A on a Banach space X, a functional calculus, due to L. Schwartz, is briefly sketched to explain fractional powers of A. Then the (modified) K-functional with respect to $(X,D((-A)^α))$, α > 0, is characterized via the associated resolvent R(λ;A). Under the assumption that the resolvent satisfies a Nikolskii type inequality, $||λR(λ;A)f||_Y ≤ cφ(1/λ)||f||_X$, for a suitable Banach space Y, an Ulyanov inequality is derived. This will be of interest if one has good control on the resolvent but not on the semigroup.

3

A characterization of localized Bessel potential spaces and applications to Jacobi and Henkel multipliers

70%

Gasper G., Trebels W.

Studia Mathematica

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1979

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tom 65

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nr 3

243-278

4

On Fourier $M^{q}_{p}$ multiplier criteria of Marcinkiewicz type

60%

Trebels W.

Studia Mathematica

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1976

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tom 58

|

nr 1

7-19

5

Multiplier criteria of Hörmander type for Jacobi expansions

41%

Gasper G., Trebels W.

Studia Mathematica

|

1980

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tom 68

|

nr 2

187-197

Ograniczanie wyników

4 Studia Mathematica

1 Banach Center Publications

5 Trebels W.

2 Gasper G.

1 Stempak K.

1 Westphal U.

1 2010

1 1997

1 1980

1 1979

1 1976

Hankel multipliers and transplantation operators

Fractional powers of operators, K-functionals, Ulyanov inequalities

A characterization of localized Bessel potential spaces and applications to Jacobi and Henkel multipliers

On Fourier $M^{q}_{p}$ multiplier criteria of Marcinkiewicz type

Multiplier criteria of Hörmander type for Jacobi expansions