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20202026
most citedExtrapolation of compactness on weighted spaces: Bilinear operators

17 citations · 47 across the 11 of their papers we have counts for

collaborators

11 papers

math.FA2026

Compact sets in quasi-Banach function spaces and multilinear extrapolation of compactness on

Spyridon Kakaroumpas, Stefanos Lappas

This paper addresses a novel Riesz--Kolmogorov theorem on quasi-Banach function spaces under mild conditions and the extrapolation of multilinear compact operators in the context o…

math.CA2025

Extrapolation for bilinear compact operators in the variable exponent setting

Spyridon Kakaroumpas, Stefanos Lappas

We establish extrapolation of compactness for bilinear operators in the scale of weighted variable exponent Lebesgue spaces. First, we prove an abstract principle relying on the Co…

math.CA2025

Sharp bilinear estimates for maximal singular integrals with kernels in weighted spaces

Stefanos Lappas, Bae Jun Park

In this paper, we study the boundedness properties of the (dyadic) maximal bilinear operator associated with rough homogeneous kernels on . We establish sharp $L^{p_1}(…

math.FA2025

Factorizations for variable exponent Muckenhoupt weights

Stefanos Lappas, Tuomas Oikari

Given two variable exponent Muckenhoupt weights and , we prove that for all small enough there holds that $w_0…

math.CA2024

Bilinear singular integral operators with kernels in weighted spaces

Petr Honzík, Stefanos Lappas, Lenka Slavíková

We establish the full quasi-Banach range of bounds for one-dimensional bilinear singular integral operator…

math.FA2022★ 1 cited

Quantitative estimates for bounded holomorphic semigroups

Tuomas Hytönen, Stefanos Lappas

In this paper we revisit the theory of one-parameter semigroups of linear operators on Banach spaces in order to prove quantitative bounds for bounded holomorphic semigroups. Subse…

math.FA2021★ 2 cited

Extrapolation of compactness on weighted Morrey spaces

Stefanos Lappas

In a previous work, "compact versions" of Rubio de Francia's weighted extrapolation theorem were proved, which allow one to extrapolate the compactness of an linear operator from j…

math.FA2020★ 17 cited

Extrapolation of compactness on weighted spaces: Bilinear operators

Tuomas Hytönen, Stefanos Lappas

In a previous paper, we obtained several "compact versions" of Rubio de Francia's weighted extrapolation theorem, which allowed us to extrapolate the compactness of linear operator…

math.FA2020★ 8 cited

Extrapolation of compactness on weighted spaces II: Off-diagonal and limited range estimates

Tuomas Hytönen, Stefanos Lappas

In a previous paper by one of us, a "compact version" of Rubio de Francia's weighted extrapolation theorem was proved, which allows one to extrapolate the compactness of an operato…

math.CA2020★ 4 cited

Dyadic representation theorem using smooth wavelets with compact support

Tuomas Hytönen, Stefanos Lappas

The representation of a general Calderón--Zygmund operator in terms of dyadic Haar shift operators first appeared as a tool to prove the theorem, and it has found a number of…

math.FA2020★ 15 cited

Extrapolation of compactness on weighted spaces

Tuomas Hytönen, Stefanos Lappas

Let be a linear operator that, for some , is bounded on for all and in addition compact on $L^{p_1}(w_1…