Characterization of associate spaces of generalized weighted weak-Lorentz spaces and embeddings

Amiran Gogatishvili; Canay Aykol; Vagif S. Guliyev

Displaying similar documents to “Characterization of associate spaces of generalized weighted weak-Lorentz spaces and embeddings”

Weighted generalized weak type inequalities for modified Hardy operators.

Pedro Ortega Salvador (2000)

Collectanea Mathematica

Similarity:

Weighted weak type inequalities for the Hardy operator when $p = 1$ .

Chen, Tieling (2003)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

Similarity:

Weighted composition operators between a weighted-type space and the Hardy space on the unit ball

Ze-Hua Zhou, Yu-Xia Liang, Xing-Tang Dong (2012)

Annales Polonici Mathematici

Similarity:

This paper characterizes the boundedness and compactness of weighted composition operators between a weighted-type space and the Hardy space on the unit ball of ℂⁿ.

Weighted weak type Hardy inequalities with applications to Hilbert transforms and maximal functions

Kenneth Andersen, Benjamin Muckenhoupt (1982)

Studia Mathematica

Similarity:

Weighted inequalities for the two-dimensional Hardy operator

E. Sawyer (1985)

Studia Mathematica

Similarity:

Weighted $L_{Φ}$ integral inequalities for operators of Hardy type

Steven Bloom, Ron Kerman (1994)

Studia Mathematica

Similarity:

Necessary and sufficient conditions are given on the weights t, u, v, and w, in order for $Φ_{2}^{- 1} (ʃ Φ_{2} (w (x) | T f (x) |) t (x) d x) \leq Φ_{1}^{- 1} (ʃ Φ_{1} (C u (x) | f (x) |) v (x) d x)$ to hold when $Φ_{1}$ and $Φ_{2}$ are N-functions with $Φ_{2} \circ Φ_{1}^{- 1}$ convex, and T is the Hardy operator or a generalized Hardy operator. Weak-type characterizations are given for monotone operators and the connection between weak-type and strong-type inequalities is explored.

The factorization of the weighted Hardy space in terms of multilinear Calderón-Zygmund operators

Suixin He, Shuangping Tao (2023)

Czechoslovak Mathematical Journal

Similarity:

We give a constructive proof of the factorization theorem for the weighted Hardy space in terms of multilinear Calderón-Zygmund operators. The result is also new even in the linear setting. As an application, we obtain the characterization of weighted BMO space via the weighted boundedness of commutators of the multilinear Calderón-Zygmund operators.

A comparison of some weighted sieves

G. Greaves (1985)

Banach Center Publications

Similarity:

Tournament Configuration and Weighted Voting

B. E. Wynne, T. V. Narayana (1981)

Cahiers du Bureau universitaire de recherche opérationnelle Série Recherche

Similarity:

Some weighted sum and product inequalities in $L^{p}$ spaces and their applications.

Brown, R.C. (2008)

Banach Journal of Mathematical Analysis [electronic only]

Similarity:

Weighted composition operators on weighted Lorentz spaces

İlker Eryilmaz (2012)

Colloquium Mathematicae

Similarity:

The boundedness, compactness and closedness of the range of weighted composition operators acting on weighted Lorentz spaces L(p,q,wdμ) for 1 < p ≤ ∞, 1 ≤ q ≤ ∞ are characterized.

Essential norm and a new characterization of weighted composition operators from weighted Bergman spaces and Hardy spaces into the Bloch space

Songxiao Li, Ruishen Qian, Jizhen Zhou (2017)

Czechoslovak Mathematical Journal

Similarity:

In this paper, we give some estimates for the essential norm and a new characterization for the boundedness and compactness of weighted composition operators from weighted Bergman spaces and Hardy spaces to the Bloch space.

First and second order Opial inequalities

Steven Bloom (1997)

Studia Mathematica

Similarity:

Let $T_{γ} f (x) = ʃ_{0}^{x} k {(x, y)}^{γ} f (y) d y$ , where k is a nonnegative kernel increasing in x, decreasing in y, and satisfying a triangle inequality. An nth-order Opial inequality has the form $ʃ_{0}^{\infty} (\prod_{i = 1}^{n} | T_{γ_{i}} {f (x) |}^{q_{i}} {|) | f (x) |}^{q_{0}} w (x) d x \leq C (ʃ_{0}^{\infty} {| f (x) |}^{p} {v (x) d x)}^{(q_{0} + \dots + q_{n}) / p}$ . Such inequalities can always be simplified to nth-order reduced inequalities, where the exponent $q_{0} = 0$ . When n = 1, the reduced inequality is a standard weighted norm inequality, and characterizing the weights is easy. We also find necessary and sufficient conditions on the weights for second-order reduced Opial inequalities to hold. ...

General Gagliardo Inequality and Applications to Weighted Sobolev Spaces

Antonio Avantaggiati, Paola Loreti (2009)

Bollettino dell'Unione Matematica Italiana

Similarity:

In this paper we obtain a more general inequality with respect to a well known inequality due to Gagliardo (see [4], [5]). The inequality contained in [4], [5] has been extended to weighted spaces, obtained as cartesian product of measurable spaces. As application, we obtain a first order weighted Sobolev inequality. This generalize a previous result obtained in [2].