Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: analytic Radon-Nikodym property

Sortuj według:

Ogranicz wyniki do:

Tauberian theorems for vector-valued Fourier and Laplace transforms

100%

Chill R.

Studia Mathematica

1998

tom 128

nr 1

55-69

Let X be a Banach space and $f ∈ L^1_loc(ℝ;X)$ be absolutely regular (i.e. integrable when divided by some polynomial). If the distributional Fourier transform of f is locally integrable then f converges to 0 at infinity in some sense to be made precise. From this result we deduce some Tauberian theorems for Fourier and Laplace transforms, which can be improved if the underlying Banach space has the analytic Radon-Nikodym property.

Artykuł dostępny w postaci pełnego tekstu - kliknij by otworzyć plik

Translations of functions iv vector Hardy classes on the unit disk

86%

Michalak A.

Instytut Matematyczny Polskiej Akademii Nauk

CONTENTS Introduction...................................................................................................5 0. Preliminaries................................................................................................7 1. Fundamental properties of harmonic vector functions...............................13 2. Hardy spaces of vector functions...............................................................15 Relations between scalar and vector Hardy classes...................................15 The factorization theorem for $H^p(𝔻,X)$...................................................19 Nontangential limits of functions in $h^p(𝔻,X)$...........................................22 Properties of functions in $h^p(𝕋,X)$..........................................................27 3. Spaces $h^p(𝔻,X)$ and $M_p(𝕋,X)$..........................................................29 4. The sets of translates of harmonic functions..............................................33 5. Translations of functions from Hardy classes..............................................37 6. Translations of functions from Smirnov classes...........................................41 7. Translations of measures from $M_p(G,X)$................................................43 8. A criterion of uncomplementability of $L^p(λ_G,X)$ in $M_p(G,X)$.............53 9. Pettis integrability of the translation function for vector measures...............64 References...................................................................................................77

Ograniczanie wyników

1 Studia Mathematica

1 Chill R.

1 Michalak A.

1 1998

1 1996

Wyniki wyszukiwania

Tauberian theorems for vector-valued Fourier and Laplace transforms

Translations of functions iv vector Hardy classes on the unit disk