Sentence examples for integrable function on from inspiring English sources

Let b be a locally integrable function on (mathbb{R}^{n}), and let (mathcal{T}) be an integral operator.

Let b be a locally integrable function on R n and T be a singular integral operator with variable Calderón-Zygmund kernels.

Let f be an integrable function on the unit disk.

Roughly speaking, qualitative uncertainty principles state that the concentration of a nonzero integrable function on G and of its operator-valued Fourier transform on ˆG is limited.

We study eigendistributions around such elements and give an explicit basis of eigendistributions on q−N given by a locally integrable function on q−N.

In this paper we prove that for every infinite-dimensional Banach spaceXand every 1⩽p<∞ there exists a strongly measurableX-valuedp-Pettis integrable function on the unit circle T such that theX-valued harmonic function defined as its Poisson integral does not converge radially at any point of T, not even in the weak topology.

A weight is a nonnegative locally integrable function on.

Let f be a locally integrable function on R n.

Let be a nonnegative integrable function on with.

Let be a real positive Lebesgue integrable function on, a real Lebesgue integrable function on, and a real continuous strictly monotone function defined on, the range of.

Let f(x)≥0 be a locally integrable function on (mathbb {R}^{d}).