Riesz potential and Sobolev space

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Riesz potential and Sobolev space

Riesz potential vs. Sobolev space

In mathematics, the Riesz potential is a potential named after its discoverer, the Hungarian mathematician Marcel Riesz. In mathematics, a Sobolev space is a vector space of functions equipped with a norm that is a combination of ''Lp''-norms of the function itself and its derivatives up to a given order.

Bessel potential

In mathematics, the Bessel potential is a potential (named after Friedrich Wilhelm Bessel) similar to the Riesz potential but with better decay properties at infinity.

Bessel potential and Riesz potential · Bessel potential and Sobolev space · See more »

Continuous function

In mathematics, a continuous function is a function for which sufficiently small changes in the input result in arbitrarily small changes in the output.

Continuous function and Riesz potential · Continuous function and Sobolev space · See more »

Distribution (mathematics)

Distributions (or generalized functions) are objects that generalize the classical notion of functions in mathematical analysis.

Distribution (mathematics) and Riesz potential · Distribution (mathematics) and Sobolev space · See more »

Laplace operator

In mathematics, the Laplace operator or Laplacian is a differential operator given by the divergence of the gradient of a function on Euclidean space.

Laplace operator and Riesz potential · Laplace operator and Sobolev space · See more »

Locally integrable function

In mathematics, a locally integrable function (sometimes also called locally summable function) is a function which is integrable (so its integral is finite) on every compact subset of its domain of definition.

Locally integrable function and Riesz potential · Locally integrable function and Sobolev space · See more »

Lp space

In mathematics, the Lp spaces are function spaces defined using a natural generalization of the ''p''-norm for finite-dimensional vector spaces.

Lp space and Riesz potential · Lp space and Sobolev space · See more »

Mathematician

A mathematician is someone who uses an extensive knowledge of mathematics in his or her work, typically to solve mathematical problems.

Mathematician and Riesz potential · Mathematician and Sobolev space · See more »

Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

Mathematics and Riesz potential · Mathematics and Sobolev space · See more »

Multiplier (Fourier analysis)

In Fourier analysis, a multiplier operator is a type of linear operator, or transformation of functions.

Multiplier (Fourier analysis) and Riesz potential · Multiplier (Fourier analysis) and Sobolev space · See more »

Sobolev inequality

In mathematics, there is in mathematical analysis a class of Sobolev inequalities, relating norms including those of Sobolev spaces.

Riesz potential and Sobolev inequality · Sobolev inequality and Sobolev space · See more »

Springer Science+Business Media

Springer Science+Business Media or Springer, part of Springer Nature since 2015, is a global publishing company that publishes books, e-books and peer-reviewed journals in science, humanities, technical and medical (STM) publishing.

Riesz potential and Springer Science+Business Media · Sobolev space and Springer Science+Business Media · See more »