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$B M O$ on spaces of homogeneous type: a density result on $C$ - $C$ spaces.

Caruso, A.O., Fanciullo, M.S. (2007)

Annales Academiae Scientiarum Fennicae. Mathematica

$B M O_{ψ}$ -spaces and applications to extrapolation theory

Stefan Geiss (1997)

Studia Mathematica

We investigate a scale of $B M O_{ψ}$ -spaces defined with the help of certain Lorentz norms. The results are applied to extrapolation techniques concerning operators defined on adapted sequences. Our extrapolation works simultaneously with two operators, starts with $B M O_{ψ}$ - $L_{\infty}$ -estimates, and arrives at $L_{p}$ - $L_{p}$ -estimates, or more generally, at estimates between K-functionals from interpolation theory.

Banach algebra of the Fourier multipliers on weighted Banach function spaces

Alexei Karlovich (2015)

Concrete Operators

Let MX,w(ℝ) denote the algebra of the Fourier multipliers on a separable weighted Banach function space X(ℝ,w).We prove that if the Cauchy singular integral operator S is bounded on X(ℝ, w), thenMX,w(ℝ) is continuously embedded into L∞(ℝ). An important consequence of the continuous embedding MX,w(ℝ) ⊂ L∞(ℝ) is that MX,w(ℝ) is a Banach algebra.

Banach-Stone theorems for non-separably valued Bochner $L^{\infty}$ – spaces

Greim, Peter (1982)

Proceedings of the 10th Winter School on Abstract Analysis

Barrelledness Conditions on S (...;E) and B(...;E).

José Mendoza (1982)

Mathematische Annalen

Bases in the spaces $C$ and $L^{1}$

S. J. Szarek (1979/1980)

Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")

Bases, suites lacunaires dans les espaces $L^{P}$ , d’après Kadec et Pelczynski

G. Pisier (1972/1973)

Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")

Bases, suites lacunaires dans les espaces $L^{P}$ , d’après Kadec et Pelczynski (suite et fin)

G. Pisier (1972/1973)

Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")

Bemerkungen zur Theorie der Lp-Räume.

Peter Werner (1969)

Journal für die reine und angewandte Mathematik

Bernstein's "Lethargy" Theorem in Metrizable Topological Linear Spaces.

G. Lewicki (1992)

Monatshefte für Mathematik

Besov-type spaces on R $d$ and integrability for the Dunkl transform.

Abdelkefi, Chokri, Anker, Jean-Philippe, Sassi, Feriel, Sifi, Mohamed (2009)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Best constants for some operators associated with the Fourier and Hilbert transforms

B. Hollenbeck, N. J. Kalton, I. E. Verbitsky (2003)

Studia Mathematica

We determine the norm in $L^{p} (ℝ ₊)$ , 1 < p < ∞, of the operator $I - ℱ_{s} ℱ_{c}$ , where $ℱ_{c}$ and $ℱ_{s}$ are respectively the cosine and sine Fourier transforms on the positive real axis, and I is the identity operator. This solves a problem posed in 1984 by M. S. Birman [Bir] which originated in scattering theory for unbounded obstacles in the plane. We also obtain the $L^{p}$ -norms of the operators aI + bH, where H is the Hilbert transform (conjugate function operator) on the circle or real line, for arbitrary real a,b. Best...

Best Constants for the Inequalities between Equivalent Norms in Orlicz Spaces

Ha Huy Bang, Nguyen Van Hoang, Vu Nhat Huy (2011)

Bulletin of the Polish Academy of Sciences. Mathematics

We investigate best constants for inequalities between the Orlicz norm and Luxemburg norm in Orlicz spaces.

Biorthogonalité et théorie des opérateurs.

Philippe Tchamitchian (1987)

Revista Matemática Iberoamericana

BMO regularity for one-dimensional minimizers of some Lagrange problems.

Fiorenza, Alberto (1997)

Journal of Convex Analysis

BMO-scale of distribution on $ℝ^{n}$

René Erlín Castillo, Julio C. Ramos Fernández (2008)

Czechoslovak Mathematical Journal

Let $S^{'}$ be the class of tempered distributions. For $f \in S^{'}$ we denote by $J^{- α} f$ the Bessel potential of $f$ of order $α$ . We prove that if $J^{- α} f \in B M O$ , then for any $λ \in (0, 1)$ , $J^{- α} {(f)}_{λ} \in B M O$ , where ${(f)}_{λ} = λ^{- n} f (φ (λ^{- 1} \cdot))$ , $φ \in S$ . Also, we give necessary and sufficient conditions in order that the Bessel potential of a tempered distribution of order $α > 0$ belongs to the $V M O$ space.

Bocce criterion and convergence in Pettis norme in $P_{E}^{1} (μ)$ . (Critère de Bocce et convergence en norm de Pettis dans $P_{E}^{1} (μ)$ .)

Amrani, A., Bourass, A., Elamri, K. (2001)

Portugaliae Mathematica. Nova Série

Currently displaying 1 – 20 of 35

Page 1 Next

Displaying 1 – 20 of 35

$B M O$ on spaces of homogeneous type: a density result on $C$ - $C$ spaces.

$B M O_{ψ}$ -spaces and applications to extrapolation theory

Banach algebra of the Fourier multipliers on weighted Banach function spaces

Banach-Stone theorems for non-separably valued Bochner $L^{\infty}$ – spaces

Barrelledness Conditions on S (...;E) and B(...;E).

Bases in the spaces $C$ and $L^{1}$

Bases, suites lacunaires dans les espaces $L^{P}$ , d’après Kadec et Pelczynski

Bases, suites lacunaires dans les espaces $L^{P}$ , d’après Kadec et Pelczynski (suite et fin)

Bemerkungen zur Theorie der Lp-Räume.

Bernstein's "Lethargy" Theorem in Metrizable Topological Linear Spaces.

Besov-type spaces on R $d$ and integrability for the Dunkl transform.

Best constants for some operators associated with the Fourier and Hilbert transforms

Best Constants for the Inequalities between Equivalent Norms in Orlicz Spaces

Biorthogonalité et théorie des opérateurs.

BMO regularity for one-dimensional minimizers of some Lagrange problems.

BMO-scale of distribution on $ℝ^{n}$

Bocce criterion and convergence in Pettis norme in $P_{E}^{1} (μ)$ . (Critère de Bocce et convergence en norm de Pettis dans $P_{E}^{1} (μ)$ .)

Bochner-Riesz Means of Functions in Weak-Lp.

Borderline sharp estimates for solutions to Neumann problems.

Boundary spaces for inclusion map between rearrangement invariant spaces.

Currently displaying 1 – 20 of 35