A two weight weak inequality for potential type operators

Vachtang Michailovič Kokilashvili; Jiří Rákosník

Displaying similar documents to “A two weight weak inequality for potential type operators”

Transmission of convergence

Neugebauer, Christoph J.

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If $E (f) = {x : lim sup f ☆ μ_{j} (x) > lim inf f ☆ μ_{j} (x)}$ , we examine the type of convergence of $g_{k}$ to $f$ so that $| E (g_{k}) | \leq M$ , $k = 1, 2, \dots$ , implies $| E (f) | \leq M$ .

Corrections to the paper “The boundedness of certain sublinear operator in the weighted variable Lebesgue spaces“

Rovshan A. Bandaliev (2013)

Czechoslovak Mathematical Journal

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In this paper the author proved the boundedness of the multidimensional Hardy type operator in weighted Lebesgue spaces with variable exponent. As an application he proved the boundedness of certain sublinear operators on the weighted variable Lebesgue space. The proof of the boundedness of the multidimensional Hardy type operator in weighted Lebesgue spaces with a variable exponent does not contain any mistakes. But in the proof of the boundedness of certain sublinear operators on the...

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.