منابع مشابه
Marked Metric Measure Spaces
A marked metric measure space (mmm-space) is a triple (X , r,μ), where (X , r) is a complete and separable metric space and μ is a probability measure on X × I for some Polish space I of possible marks. We study the space of all (equivalence classes of) marked metric measure spaces for some fixed I . It arises as a state space in the construction of Markov processes which take values in random ...
متن کاملA ug 2 00 9 Adams inequalities on measure spaces
In 1988 Adams obtained sharp Moser-Trudinger inequalities on bounded domains of Rn. The main step was a sharp exponential integral inequality for convolutions with the Riesz potential. In this paper we extend and improve Adams’ results to functions defined on arbitrary measure spaces with finite measure. The Riesz fractional integral is replaced by general integral operators, whose kernels sati...
متن کاملOn Heat Kernel Estimates and Parabolic Harnack Inequality for Jump Processes on Metric Measure Spaces
In this paper, we discuss necessary and sufficient conditions on jumping kernels for a class of jump-type Markov processes on metric measure spaces to have scale-invariant finite range parabolic Harnack inequality.
متن کاملNotes on Heat Kernel Estimates and Parabolic Harnack Inequality for Jump Processes on Metric Measure Spaces
In this paper, we discuss necessary and sufficient conditions on jumping kernels for a class of jump-type Markov processes on metric measure spaces to have scale-invariant finite range parabolic Harnack inequality. AMS 2000 Mathematics Subject Classification: Primary 60J75 , 60J35, Secondary 31C25 , 31C05. Running title: Notes on Heat Kernel Estimates and Parabolic Harnack Inequality
متن کاملDiffusion polynomial frames on metric measure spaces
We construct a multiscale tight frame based on an arbitrary orthonormal basis for the L2 space of an arbitrary sigma finite measure space. The approximation properties of the resulting multiscale are studied in the context of Besov approximation spaces, which are characterized both in terms of suitable K–functionals and the frame transforms. The only major condition required is the uniform boun...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Revista Matemática Iberoamericana
سال: 2009
ISSN: 0213-2230
DOI: 10.4171/rmi/575