An inclusion operator in Hardy spaces on the unit ball in
M. Jevtić (1988)
Matematički Vesnik
Similarity:
M. Jevtić (1988)
Matematički Vesnik
Similarity:
M. Mateljević (1979)
Matematički Vesnik
Similarity:
Krzysztof Grelowski (2008)
Annales Polonici Mathematici
Similarity:
For a large class of Hardy fields their extensions containing non--germs are constructed. Hardy fields composed of only non--germs, apart from constants, are also considered.
Maxime Bailleul, Pascal Lefèvre (2015)
Studia Mathematica
Similarity:
The Hardy spaces of Dirichlet series, denoted by (p ≥ 1), have been studied by Hedenmalm et al. (1997) when p = 2 and by Bayart (2002) in the general case. In this paper we study some -generalizations of spaces of Dirichlet series, particularly two families of Bergman spaces, denoted and . Each could appear as a “natural” way to generalize the classical case of the unit disk. We recover classical properties of spaces of analytic functions: boundedness of point evaluation, embeddings...
Evgeny A. Poletsky, Khim R. Shrestha (2015)
Banach Center Publications
Similarity:
In this paper we completely characterize those weighted Hardy spaces that are Poletsky-Stessin Hardy spaces . We also provide a reduction of problems to problems and demonstrate how such a reduction can be used to make shortcuts in the proofs of the interpolation theorem and corona problem.
Florence Lancien, Beata Randrianantoanina, Eric Ricard (2005)
Studia Mathematica
Similarity:
We prove a conjecture of Wojtaszczyk that for 1 ≤ p < ∞, p ≠ 2, does not admit any norm one projections with dimension of the range finite and greater than 1. This implies in particular that for 1 ≤ p < ∞, p ≠ 2, does not admit a Schauder basis with constant one.
A. Ramayyan (1994)
Kybernetika
Similarity:
Alberto Fiorenza, Babita Gupta, Pankaj Jain (2008)
Studia Mathematica
Similarity:
We study the Hardy inequality and derive the maximal theorem of Hardy and Littlewood in the context of grand Lebesgue spaces, considered when the underlying measure space is the interval (0,1) ⊂ ℝ, and the maximal function is localized in (0,1). Moreover, we prove that the inequality holds with some c independent of f iff w belongs to the well known Muckenhoupt class , and therefore iff for some c independent of f. Some results of similar type are discussed for the case of small...
David M. Boyd (1978)
Colloquium Mathematicae
Similarity:
Yuichi Kanjin (2001)
Studia Mathematica
Similarity:
We prove that the Hausdorff operator generated by a function ϕ is bounded on the real Hardy space , 0 < p ≤ 1, if the Fourier transform ϕ̂ of ϕ satisfies certain smoothness conditions. As a special case, we obtain the boundedness of the Cesàro operator of order α on , 2/(2α+1) < p ≤ 1. Our proof is based on the atomic decomposition and molecular characterization of .
R. Demazeux (2011)
Studia Mathematica
Similarity:
We complete the different cases remaining in the estimation of the essential norm of a weighted composition operator acting between the Hardy spaces and for 1 ≤ p,q ≤ ∞. In particular we give some estimates for the cases 1 = p ≤ q ≤ ∞ and 1 ≤ q < p ≤ ∞.
J. Alvarez (1989)
Colloquium Mathematicae
Similarity:
C. J. Neugebauer (2009)
Studia Mathematica
Similarity:
Let be the Ariõ-Muckenhoupt weight class which controls the weighted -norm inequalities for the Hardy operator on non-increasing functions. We replace the constant p by a function p(x) and examine the associated -norm inequalities of the Hardy operator.
Leonardo Pasini (1985)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
Similarity:
In questo lavoro si estende il concetto di campo di Hardy [Bou], al contesto dei germi di funzioni in più variabili che sono definite su insiemi semi-algebrici [Br.], [D.] e che risultano essere morfismi di categorie lisce [Pal.]. In tale contesto si dimostra che per ogni campo di Hardy di germi di una fissata categoria liscia , la sua chiusura algebrica relativa nell'anello , di tutti i germi nella stessa categoria liscia, è un campo di Hardy reale chiuso, che è l'unica chiusura reale...
Leonardo Pasini (1985)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
Similarity:
In questo lavoro si estende il concetto di campo di Hardy [Bou], al contesto dei germi di funzioni in più variabili che sono definite su insiemi semi-algebrici [Br.], [D.] e che risultano essere morfismi di categorie lisce [Pal.]. In tale contesto si dimostra che per ogni campo di Hardy di germi di una fissata categoria liscia , la sua chiusura algebrica relativa nell'anello , di tutti i germi nella stessa categoria liscia, è un campo di Hardy reale chiuso, che è l'unica chiusura reale...
Gustavo Garrigos (2001)
Colloquium Mathematicae
Similarity:
We define a class of spaces , 0 < p < ∞, of holomorphic functions on the tube, with a norm of Hardy type: . We allow μ to be any quasi-invariant measure with respect to a group acting simply transitively on the cone. We show the existence of boundary limits for functions in , and when p ≥ 1, characterize the boundary values as the functions in satisfying the tangential CR equations. A careful description of the measures μ when their supports lie on the boundary of the cone...
Michalak Artur
Similarity:
AbstractThe paper contains studies of relationships between properties of the “translation” mappings and the topological and geometric structure of spaces X and Hardy classes of X-valued harmonic functions on the open unit disk in ℂ (X is a Banach space). The mapping transforming the unit circle of ℂ into is associated with a function by the formula , where ϕₜ is the rotation of through t.AcknowledgmentsThis work is based in part on the author’s doctoral thesis written at...
István Blahota, György Gát, Ushangi Goginava (2007)
Colloquium Mathematicae
Similarity:
The main aim of this paper is to prove that the maximal operator of the Fejér means of the double Vilenkin-Fourier series is not bounded from the Hardy space to the space weak-.
Guanghui Lu, Shuangping Tao (2017)
Open Mathematics
Similarity:
The main purpose of this paper is to prove that the boundedness of the commutator [...] Mκ,b∗ generated by the Littlewood-Paley operator [...] Mκ∗ and RBMO (μ) function on non-homogeneous metric measure spaces satisfying the upper doubling and the geometrically doubling conditions. Under the assumption that the kernel of [...] Mκ∗ satisfies a certain Hörmander-type condition, the authors prove that [...] Mκ,b∗ is bounded on Lebesgue spaces Lp(μ) for 1 < p < ∞, bounded from...
Muhammad Arshad, Eskandar Ameer, Aftab Hussain (2015)
Archivum Mathematicum
Similarity:
The aim of this paper is to introduce some new fixed point results of Hardy-Rogers-type for ---contraction in a complete metric space. We extend the concept of -contraction into an ---contraction of Hardy-Rogers-type. An example has been constructed to demonstrate the novelty of our results.
Santiago Boza (2012)
Studia Mathematica
Similarity:
The purpose of this paper is to obtain a discrete version for the Hardy spaces of the weak factorization results obtained for the real Hardy spaces by Coifman, Rochberg and Weiss for p > n/(n+1), and by Miyachi for p ≤ n/(n+1). It represents an extension, in the one-dimensional case, of the corresponding result by A. Uchiyama who obtained a factorization theorem in the general context of spaces X of homogeneous type, but with some restrictions on the measure that exclude the case...
Ferenc Weisz (2009)
Studia Mathematica
Similarity:
It is proved that the multi-dimensional maximal Fejér operator defined in a cone is bounded from the amalgam Hardy space to . This implies the almost everywhere convergence of the Fejér means in a cone for all , which is larger than .
Oscar Blasco (1988)
Colloquium Mathematicae
Similarity:
Elijah Liflyand, Akihiko Miyachi (2009)
Studia Mathematica
Similarity:
Sufficient conditions for the boundedness of the Hausdorff operators in the Hardy spaces , 0 < p < 1, on the real line are proved. Two related negative results are also given.
A. de la Torre, J. L. Torrea (2003)
Studia Mathematica
Similarity:
Let f be a measurable function defined on ℝ. For each n ∈ ℤ we consider the average . The square function is defined as . The local version of this operator, namely the operator , is of interest in ergodic theory and it has been extensively studied. In particular it has been proved [3] that it is of weak type (1,1), maps into itself (p > 1) and into BMO. We prove that the operator S not only maps into BMO but it also maps BMO into BMO. We also prove that the boundedness...