On the boundedness of fractional -maximal operators in the Lorentz spaces .

Aykol, Canay; Serbetci, Ayhan

Displaying similar documents to “On the boundedness of fractional $B$ -maximal operators in the Lorentz spaces $L_{p, q, γ} (ℝ_{+}^{n})$ .”

Embedding theorems in Banach-valued $B$ -spaces and maximal $B$ -regular differential-operator equations.

Shakhmurov, Veli B. (2006)

Journal of Inequalities and Applications [electronic only]

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On the boundedness of the maximal operator and singular integral operators in generalized Morrey spaces

Ali Akbulut, Vagif Guliyev, Rza Mustafayev (2012)

Mathematica Bohemica

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In the paper we find conditions on the pair $(ω_{1}, ω_{2})$ which ensure the boundedness of the maximal operator and the Calderón-Zygmund singular integral operators from one generalized Morrey space $ℳ_{p, ω_{1}}$ to another $ℳ_{p, ω_{2}}$ , $1 < p < \infty$ , and from the space $ℳ_{1, ω_{1}}$ to the weak space $W ℳ_{1, ω_{2}}$ . As applications, we get some estimates for uniformly elliptic operators on generalized Morrey spaces.

Hölder quasicontinuity in variable exponent Sobolev spaces.

Harjulehto, Petteri, Kinnunen, Juha, Tuhkanen, Katja (2007)

Journal of Inequalities and Applications [electronic only]

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Boundedness of the maximal, potential and singular operators in the generalized Morrey spaces.

Guliyev, Vagif S. (2009)

Journal of Inequalities and Applications [electronic only]

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Boundedness of some sublinear operators and commutators on Morrey-Herz spaces with variable exponents

Yan Lu, Yue Ping Zhu (2014)

Czechoslovak Mathematical Journal

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We introduce a new type of variable exponent function spaces $M {\dot{K}}_{q, p (\cdot)}^{α (\cdot), λ} (ℝ^{n})$ of Morrey-Herz type where the two main indices are variable exponents, and give some propositions of the introduced spaces. Under the assumption that the exponents $α$ and $p$ are subject to the log-decay continuity both at the origin and at infinity, we prove the boundedness of a wide class of sublinear operators satisfying a proper size condition which include maximal, potential and Calderón-Zygmund operators and their commutators...

Spaces of $D_{L^{p}}$ type and a convolution product associated with the spherical mean operator.

Dziri, M., Jelassi, M., Rachdi, L.T. (2005)

International Journal of Mathematics and Mathematical Sciences

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Strong solutions for a compressible fluid model of Korteweg type

Matthias Kotschote (2008)

Annales de l'I.H.P. Analyse non linéaire

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On boundedness of maximal functions in Sobolev spaces.

Hajłasz, Piotr, Onninen, Jani (2004)

Annales Academiae Scientiarum Fennicae. Mathematica

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Commutators of the fractional maximal function on variable exponent Lebesgue spaces

Pu Zhang, Jianglong Wu (2014)

Czechoslovak Mathematical Journal

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Let $M_{β}$ be the fractional maximal function. The commutator generated by $M_{β}$ and a suitable function $b$ is defined by $[M_{β}, b] f = M_{β} (b f) - b M_{β} (f)$ . Denote by $𝒫 (ℝ^{n})$ the set of all measurable functions $p (\cdot) : ℝ^{n} \to [1, \infty)$ such that $1 < p_{-} : = \underset{x \in ℝ^{n}}{ess \inf} p (x) and p_{+} : = \underset{x \in ℝ^{n}}{ess \sup} p (x) < \infty,$ and by $ℬ (ℝ^{n})$ the set of all $p (\cdot) \in 𝒫 (ℝ^{n})$ such that the Hardy-Littlewood maximal function $M$ is bounded on $L^{p (\cdot)} (ℝ^{n})$ . In this paper, the authors give some characterizations of $b$ for which $[M_{β}, b]$ is bounded from $L^{p (\cdot)} (ℝ^{n})$ into $L^{q (\cdot)} (ℝ^{n})$ , when $p (\cdot) \in 𝒫 (ℝ^{n})$ , $0 < β < n / p_{+}$ and $1 / q (\cdot) = 1 / p (\cdot) - β / n$ with $q (\cdot) (n - β) / n \in ℬ (ℝ^{n})$ .

Displaying similar documents to “On the boundedness of fractional B -maximal operators in the Lorentz spaces L p , q , γ ( ℝ + n ) .”

Displaying similar documents to “On the boundedness of fractional $B$ -maximal operators in the Lorentz spaces $L_{p, q, γ} (ℝ_{+}^{n})$ .”