Displaying similar documents to “Some remarks on strong factorization of tent spaces”

Some Remarks on Indicatrices of Measurable Functions

Marcin Kysiak (2005)

Bulletin of the Polish Academy of Sciences. Mathematics

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We show that for a wide class of σ-algebras 𝓐, indicatrices of 𝓐-measurable functions admit the same characterization as indicatrices of Lebesgue-measurable functions. In particular, this applies to functions measurable in the sense of Marczewski.

On measurable relation

C. Himmelberg, T. Parthasarathy, F. Van Vleck (1981)

Fundamenta Mathematicae

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Selection theorem in L¹

Andrzej Nowak, Celina Rom (2006)

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

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Let F be a multifunction from a metric space X into L¹, and B a subset of X. We give sufficient conditions for the existence of a measurable selector of F which is continuous at every point of B. Among other assumptions, we require the decomposability of F(x) for x ∈ B.

On the difference property of families of measurable functions

Rafał Filipów (2003)

Colloquium Mathematicae

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We show that, generally, families of measurable functions do not have the difference property under some assumption. We also show that there are natural classes of functions which do not have the difference property in ZFC. This extends the result of Erdős concerning the family of Lebesgue measurable functions.