A note on γ-radonifying and summing operators

• Autorzy: Zdzisław Brzeźniak , Hongwei Long
• Języki publikacji: EN

Abstrakty

EN

In this note, we discuss certain generalizations of γ-radonifying operators and their applications to the regularity for linear stochastic evolution equations on some special Banach spaces. Furthermore, we also consider a more general class of operators, namely the so-called summing operators and discuss the application to the compactness of the heat semi-group between weighted $L^{p}$-spaces.

Kategorie tematyczne

• 34F05: Equations and systems with randomness
• 37H10: Generation, random and stochastic difference and differential equations
• 35R60: Partial differential equations with randomness, stochastic partial differential equations
• 60H15: Stochastic partial differential equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2015
• Tom: 105
• Numer: 1
• Strony: 43-57

Daty

wydano

2015

Twórcy

autor

Zdzisław Brzeźniak

• Department of Mathematics, University of York, Heslington, York YO10 5DD, UK

autor

Hongwei Long

• Department of Mathematical Sciences, Florida Atlantic University, Boca Raton, Florida 33431, U.S.A.

Identyfikatory

DOI

10.4064/bc105-0-3