Displaying similar documents to “Hajłasz-Sobolev type spaces and p -energy on the Sierpinski gasket.”

Sobolev embeddings for Riesz potentials of functions in grand Morrey spaces of variable exponents over non-doubling measure spaces

Takao Ohno, Tetsu Shimomura (2014)

Czechoslovak Mathematical Journal

Similarity:

Our aim in this paper is to deal with the boundedness of the Hardy-Littlewood maximal operator on grand Morrey spaces of variable exponents over non-doubling measure spaces. As an application of the boundedness of the maximal operator, we establish Sobolev's inequality for Riesz potentials of functions in grand Morrey spaces of variable exponents over non-doubling measure spaces. We are also concerned with Trudinger's inequality and the continuity for Riesz potentials.

Smooth approximation in weighted Sobolev spaces

Tero Kilpeläinen (1997)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

We give necessary and sufficient conditions for the equality H = W in weighted Sobolev spaces. We also establish a Rellich-Kondrachov compactness theorem as well as a Lusin type approximation by Lipschitz functions in weighted Sobolev spaces.

Metric Sobolev spaces

Koskela, Pekka

Similarity:

We describe an approach to establish a theory of metric Sobolev spaces based on Lipschitz functions and their pointwise Lipschitz constants and the Poincaré inequality.

Lambert multipliers between L p spaces

M. R. Jabbarzadeh, S. Khalil Sarbaz (2010)

Czechoslovak Mathematical Journal

Similarity:

In this paper Lambert multipliers acting between L p spaces are characterized by using some properties of conditional expectation operator. Also, Fredholmness of corresponding bounded operators is investigated.