Martin Kvrepela

activity

20162019

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math.FA2016

Embeddings and associated spaces of Copson-Lorentz spaces

Martin Křepela

Let $m, p, q \in (0, \infty)$ and let $u, v, w$ be nonnegative weights. We characterize validity of the inequality \[ \left(\int_0^\infty w(t) (f^*(t))^q \, dt \right)^\frac 1q \le C \lef…

math.FA2016

Boundedness of Hardy-type operators with a kernel: integral weighted conditions for the case $0 < q < 1 \leq p < \infty$

Martin Křepela

Let $U : [0, \infty)^{2} \to [0, \infty)$ be a~measurable kernel satisfying: (i) $U (x, y)$ is nonincreasing in $x$ and nondecreasing in $y$ ; (ii) there exists a~constant $θ > 0$ such that $…

Embeddings and associated spaces of Copson-Lorentz spaces

Boundedness of Hardy-type operators with a kernel: integral weighted conditions for the case 0<q<1≤p<∞

Boundedness of Hardy-type operators with a kernel: integral weighted conditions for the case $0 < q < 1 \leq p < \infty$