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Displaying 1461 – 1480 of 1948

On the range of the derivative of a smooth function and applications.

Robert Deville (2006)

RACSAM

We survey recent results on the structure of the range of the derivative of a smooth real valued function f defined on a real Banach space X and of a smooth mapping F between two real Banach spaces X and Y. We recall some necessary conditions and some sufficient conditions on a subset A of L(X,Y) for the existence of a Fréchet-differentiable mapping F from X into Y so that F'(X) = A. Whenever F is only assumed Gâteaux-differentiable, new phenomena appear: we discuss the existence of a mapping F...

On the range of the derivative of a smooth mapping between Banach spaces.

Deville, Robert (2005)

Abstract and Applied Analysis

On the Range of the Radon Transform and its Dual.

Alexander Hertle (1984)

Mathematische Annalen

On the range space of Yano's extrapolation theorem and new extrapolation estimates at infinity.

María Jesús Carro (2002)

Publicacions Matemàtiques

Given a sublinear operator T satisfying that ||Tf||Lp(ν) ≤ C/(p-1) ||f||Lp(μ), for every 1 < p ≤ p0, with C independent of f and p, it was proved in [C] that... [check the paper abstract for the formula]This estimate implies that T: L log L → B, where B is a rearrangement invariant space. The purpose of this note is to give several characterizations of the space B and study its associate space. This last information allows us to formulate an extrapolation result of Zygmund type for linear...

On the ranks of Elements of Semiprime Banach Algebras

Stavros Giotopoulos (2004)

Δελτίο της Ελληνικής Μαθηματικής Εταιρίας

On the reflexivity of pairs of isometries and of tensor products of some operator algebras

Marek Ptak (1986)

Studia Mathematica

On the regularity of the one-sided Hardy-Littlewood maximal functions

Feng Liu, Suzhen Mao (2017)

Czechoslovak Mathematical Journal

In this paper we study the regularity properties of the one-dimensional one-sided Hardy-Littlewood maximal operators $ℳ^{+}$ and $ℳ^{-}$ . More precisely, we prove that $ℳ^{+}$ and $ℳ^{-}$ map $W^{1, p} (ℝ) \to W^{1, p} (ℝ)$ with $1 < p < \infty$ , boundedly and continuously. In addition, we show that the discrete versions $M^{+}$ and $M^{-}$ map $BV (ℤ) \to BV (ℤ)$ boundedly and map $l^{1} (ℤ) \to BV (ℤ)$ continuously. Specially, we obtain the sharp variation inequalities of $M^{+}$ and $M^{-}$ , that is, $Var (M^{+} (f)) \leq Var (f) and Var (M^{-} (f)) \leq Var (f)$ if $f \in BV (ℤ)$ , where $Var (f)$ is the total variation of $f$ on $ℤ$ and $BV (ℤ)$ is the set of all functions $f : ℤ \to ℝ$ satisfying $Var (f) < \infty$ .

On the reitration property of ... spaces.

Natan Ja. Krugljak (1993)

Mathematica Scandinavica

On the relation between complex and real methods of interpolation

Mieczysław Mastyło, Vladimir Ovchinnikov (1997)

Studia Mathematica

We study those compatible couples of Banach spaces for which the complex method interpolation spaces are also described by the K-method of interpolation. As an application we present counter-examples to Cwikel's conjecture that all interpolation spaces of a Banach couple are described by the K-method whenever all complex interpolation spaces have this property.

On the relation between ordered sets and Lorentz--Minkowski distances in real inner product spaces.

Demirel, Oğuzhan, Soytürk Seyrantepe, Emine (2010)

Acta Universitatis Apulensis. Mathematics - Informatics

On the relation between several notions of unconditional structure - A counterexample

G. Schechtman (1978/1979)

Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")

On the relation of the bounded approximation property and a finite dimensional decomposition in nuclear Fréchet spaces

Andreas Benndorf (1983)

Studia Mathematica

On the relationship between the reversibility of dynamics and balance conditions

W. A. Majewski (1983)

Annales de l'I.H.P. Physique théorique

On the Relationship Between yp-Radonifying Operators and Other Operator Ideals in Banach Spaces of Stable Type p.

Yoshiaki Okazaki, Yashuii. Takahashi (1988)

Mathematische Annalen

On the relationships between Hp(T,X/Y) and Hp(T,X)/ Hp(T,Y).

Arthur Michalak (1997)

Collectanea Mathematica

On the Representation of Banach Lattices by Continuous Numerical Functions.

Helmut H. Schaefer (1972)

Mathematische Zeitschrift

On the representation of Orlicz lattices

Kranz, Przemysław, Wnuk, Witold (1981)

Abstracta. 9th Winter School on Abstract Analysis

On the representation of uncountable symmetric basic sets and its applications

Francisco Hernandez, Stanimir Troyanski (1993)

Studia Mathematica

It is shown that every uncountable symmetric basic set in an F-space with a symmetric basis is equivalent to a basic set generated by one vector. We apply this result to investigate the structure of uncountable symmetric basic sets in Orlicz and Lorentz spaces.

On the reproducing kernel for harmonic functions and the space of Bloch harmonic functions on the unit ball in $R^{n}$

Ewa Ligocka (1987)

Studia Mathematica

On the Riesz-Fischer theorem for vector-valued functions

W. Matuszewska, W. Orlicz (1972)

Studia Mathematica

Currently displaying 1461 – 1480 of 1948

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