Sur la transformation de Fourier des fonctions à valeurs vectorielles

Publication date: 1969

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1969__42__15_0

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Spaces of vector- and operator-valued functions (46E40) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Related Items (40)

Fourier Type and Complex Interpolation ⋮ Regularity properties of nonlocal fractional differential equations and applications ⋮ Estimates for vector-valued holomorphic functions and Littlewood–Paley–Stein theory ⋮ Optimal individual stability estimates for $C_0$-semigroups in Banach spaces ⋮ Operator-valued Fourier multipliers in vector-valued function spaces and application ⋮ Real and complex interpolation methods for finite and infinite families of Banach spaces ⋮ Asymptotic behaviour of $C_0$-semigroups and $\gamma$-boundedness of the resolvent ⋮ On the asymptotic behaviour of a semigroup of linear operators ⋮ The $p$-Bohr radius of a Banach space ⋮ Unnamed Item ⋮ Duality of Fourier type with respect to locally compact Abelian groups ⋮ Compactness-like operator properties preserved by complex interpolation ⋮ On the vector valued Hausdorff-Young inequality ⋮ Integral type Cauchy problem for abstract wave equations and applications ⋮ A discrete framework for the interpolation of Banach spaces ⋮ Euclidean Structures and Operator Theory in Banach Spaces ⋮ On the nonstationary Stokes system in a cone $(L_p$ theory) ⋮ Vector-valued Hardy inequalities and $B$-convexity ⋮ Operator-valued Fourier multiplier theorems on $L_{p}$($X$) and geometry of Banach spaces. ⋮ Norm estimates for operators from $H^p$ to $\ell^q$ ⋮ Theorems of Hardy and Paley for Vector-Valued Analytic Functions and Related Classes of Banach Spaces ⋮ Extensions of the vector-valued Hausdorff-Young inequalities ⋮ Well-posedness of second order degenerate differential equations with infinite delay in Hölder continuous function spaces ⋮ Schatten-von Neumann classes of multilinear forms ⋮ Asymptotic behavior of 𝐶₀-semigroups in Banach spaces ⋮ Monotonicity properties of interpolation spaces ⋮ Stein interpolation for the real interpolation method ⋮ On the closedness of the sum of two closed operators ⋮ Sur l'utilisation des suites inconditionnellement sommables dans la théorie des espaces d'interpolation. (Towards the utilization of the unconditionally summable series in the theory of interpolation spaces) ⋮ $B$-convexity, the analytic Radon-Nikodým property, and individual stability of $C_0$-semigroups ⋮ Fourier analysis with respect to bilinear maps ⋮ Integrated semigroups and linear partial differential equations with delay ⋮ Unbounded transforms and approximation of functions over $p$-adic fields ⋮ Embedding theorems for functions of one variable ⋮ Invariant Gaussian measures for operators on Banach spaces and linear dynamics ⋮ On the connection between the real and the complex interpolation method for several Banach spaces ⋮ A unified theory of commutator estimates for a class of interpolation methods ⋮ WELL-POSEDNESS OF DEGENERATE DIFFERENTIAL EQUATIONS WITH INFINITE DELAY IN HÖLDER CONTINUOUS FUNCTION SPACES ⋮ Complex interpolation and geometry of Banach spaces ⋮ Delsarte equation for Caputo operator of fractional calculus

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